Oystaeyen, F. Van 1947
Overview
Works:  253 works in 769 publications in 4 languages and 12,294 library holdings 

Genres:  Conference papers and proceedings 
Roles:  Author, Editor, Other, Thesis advisor 
Publication Timeline
.
Most widely held works by
F. Van Oystaeyen
Commutative algebra and algebraic geometry : proceedings of the Ferrara meeting in honor of Mario Fiorentini(
)
12 editions published in 1999 in English and held by 890 WorldCat member libraries worldwide
"This reference  compiled in honor of Mario Fiorentini of the University of Ferrara, Italy, a driving force in the development of commutative algebra and algebraic geometry and the intercommunication of these fields  contains contributions by over 25 leading international mathematicians in the areas of commutative algebra and algebraic geometry."BOOK JACKET. "Illustrating how seemingly different concepts emerge out of a common fundamental set of ideas, Commutative Algebra and Algebraic Geometry serves as a motivating guide for pure and applied mathematicians, particularly algebraists, number theorists, ring theorists, geometers, and topologists, as well as graduate students in these disciplines."Jacket
12 editions published in 1999 in English and held by 890 WorldCat member libraries worldwide
"This reference  compiled in honor of Mario Fiorentini of the University of Ferrara, Italy, a driving force in the development of commutative algebra and algebraic geometry and the intercommunication of these fields  contains contributions by over 25 leading international mathematicians in the areas of commutative algebra and algebraic geometry."BOOK JACKET. "Illustrating how seemingly different concepts emerge out of a common fundamental set of ideas, Commutative Algebra and Algebraic Geometry serves as a motivating guide for pure and applied mathematicians, particularly algebraists, number theorists, ring theorists, geometers, and topologists, as well as graduate students in these disciplines."Jacket
Interactions between ring theory and representations of algebras : proceedings of the conference held in Murcia, Spain(
)
11 editions published in 2000 in English and held by 867 WorldCat member libraries worldwide
11 editions published in 2000 in English and held by 867 WorldCat member libraries worldwide
Hopf algebras and quantum groups : proceedings of the Brussels conference by
Stefaan Caenepeel(
)
12 editions published between 1999 and 2000 in English and held by 847 WorldCat member libraries worldwide
12 editions published between 1999 and 2000 in English and held by 847 WorldCat member libraries worldwide
Graded and filtered rings and modules by
C Năstăsescu(
Book
)
20 editions published between 1979 and 2008 in English and German and held by 580 WorldCat member libraries worldwide
20 editions published between 1979 and 2008 in English and German and held by 580 WorldCat member libraries worldwide
Prime spectra in noncommutative algebra by
F. Van Oystaeyen(
Book
)
22 editions published between 1974 and 1975 in English and Undetermined and held by 576 WorldCat member libraries worldwide
22 editions published between 1974 and 1975 in English and Undetermined and held by 576 WorldCat member libraries worldwide
Noncommutative algebraic geometry : an introduction by
F. Van Oystaeyen(
Book
)
22 editions published in 1981 in 3 languages and held by 564 WorldCat member libraries worldwide
22 editions published in 1981 in 3 languages and held by 564 WorldCat member libraries worldwide
Brauer groups in ring theory and algebraic geometry : proceedings, University of Antwerp, U.I.A., Belgium, August 1728, 1981 by
F. Van Oystaeyen(
Book
)
23 editions published in 1982 in English and German and held by 563 WorldCat member libraries worldwide
23 editions published in 1982 in English and German and held by 563 WorldCat member libraries worldwide
Algebraic geometry for associative algebras by
F. Van Oystaeyen(
)
9 editions published in 2000 in English and held by 527 WorldCat member libraries worldwide
9 editions published in 2000 in English and held by 527 WorldCat member libraries worldwide
Prime divisors and noncommutative valuation theory by
Hidetoshi Marubayashi(
)
18 editions published in 2012 in English and held by 501 WorldCat member libraries worldwide
Classical valuation theory has applications in number theory and class field theory as well as in algebraic geometry, e.g. in a divisor theory for curves.℗¡ But the noncommutative equivalent is mainly applied to finite dimensional skewfields.℗¡ Recently however, new types of algebras have become popular in modern algebra; Weyl algebras, deformed and quantized algebras, quantum groups and Hopf algebras, etc. The advantage of valuation theory in the commutative case is that it allows effective calculations, bringing the arithmetical properties of the ground field into the picture.℗¡ This arithmetical nature is also present in the theory of maximal orders in central simple algebras.℗¡ Firstly, we aim at uniting maximal orders, valuation rings, Dubrovin valuations, etc. in a common theory, the theory of primes of algebras.℗¡ Secondly, we establish possible applications of the noncommutative arithmetics to interesting classes of algebras, including the extension of central valuations to nice classes of quantized algebras, the development of a theory of Hopf valuations on Hopf algebras and quantum groups, noncommutative valuations on the Weyl field and interesting rings of invariants and valuations of Gauss extensions
18 editions published in 2012 in English and held by 501 WorldCat member libraries worldwide
Classical valuation theory has applications in number theory and class field theory as well as in algebraic geometry, e.g. in a divisor theory for curves.℗¡ But the noncommutative equivalent is mainly applied to finite dimensional skewfields.℗¡ Recently however, new types of algebras have become popular in modern algebra; Weyl algebras, deformed and quantized algebras, quantum groups and Hopf algebras, etc. The advantage of valuation theory in the commutative case is that it allows effective calculations, bringing the arithmetical properties of the ground field into the picture.℗¡ This arithmetical nature is also present in the theory of maximal orders in central simple algebras.℗¡ Firstly, we aim at uniting maximal orders, valuation rings, Dubrovin valuations, etc. in a common theory, the theory of primes of algebras.℗¡ Secondly, we establish possible applications of the noncommutative arithmetics to interesting classes of algebras, including the extension of central valuations to nice classes of quantized algebras, the development of a theory of Hopf valuations on Hopf algebras and quantum groups, noncommutative valuations on the Weyl field and interesting rings of invariants and valuations of Gauss extensions
Ring theory : proceedings of an international conference held in Antwerp, April 15, 1985 by
F. Van Oystaeyen(
Book
)
17 editions published between 1986 and 2008 in 3 languages and held by 484 WorldCat member libraries worldwide
Annotation
17 editions published between 1986 and 2008 in 3 languages and held by 484 WorldCat member libraries worldwide
Annotation
Methods of graded rings by
C Năstăsescu(
Book
)
17 editions published in 2004 in English and held by 477 WorldCat member libraries worldwide
The topic of this book, graded algebra, has developed in the past decade to a vast subject with new applications in noncommutative geometry and physics. Classical aspects relating to group actions and gradings have been complemented by new insights stemming from Hopf algebra theory. Old and new methods are presented in full detail and in a selfcontained way. Graduate students as well as researchers in algebra, geometry, will find in this book a useful toolbox. Exercises, with hints for solution, provide a direct link to recent research publications. The book is suitable for courses on Master level or textbook for seminars
17 editions published in 2004 in English and held by 477 WorldCat member libraries worldwide
The topic of this book, graded algebra, has developed in the past decade to a vast subject with new applications in noncommutative geometry and physics. Classical aspects relating to group actions and gradings have been complemented by new insights stemming from Hopf algebra theory. Old and new methods are presented in full detail and in a selfcontained way. Graduate students as well as researchers in algebra, geometry, will find in this book a useful toolbox. Exercises, with hints for solution, provide a direct link to recent research publications. The book is suitable for courses on Master level or textbook for seminars
Graded ring theory by
C Năstăsescu(
Book
)
15 editions published between 1982 and 2011 in English and Italian and held by 442 WorldCat member libraries worldwide
15 editions published between 1982 and 2011 in English and Italian and held by 442 WorldCat member libraries worldwide
Ring theory, Antwerp, 1980 : proceedings, University of Antwerp, U.I.A., Belgium, May 69, 1980 by Week of Ring Theory (Conférence)(
Book
)
7 editions published in 1980 in English and held by 396 WorldCat member libraries worldwide
7 editions published in 1980 in English and held by 396 WorldCat member libraries worldwide
Abstract algebra : a comprehensive treatment by
Claudia Menini(
Book
)
12 editions published in 2004 in English and held by 358 WorldCat member libraries worldwide
"A book covering subject matter typically taught over the course of two or three years, Abstract Algebra offers a selfcontained presentation, detailed definitions, and excellent chaptermatched exercises to automatically smooth the trajectory of learning algebra from zero to one."Jacket
12 editions published in 2004 in English and held by 358 WorldCat member libraries worldwide
"A book covering subject matter typically taught over the course of two or three years, Abstract Algebra offers a selfcontained presentation, detailed definitions, and excellent chaptermatched exercises to automatically smooth the trajectory of learning algebra from zero to one."Jacket
Dimensions of ring theory by
C Năstăsescu(
Book
)
16 editions published in 1987 in English and held by 306 WorldCat member libraries worldwide
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G.K. Chesterton. The Scandal of Father 'The Hermit Gad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of s9phistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and largescale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics
16 editions published in 1987 in English and held by 306 WorldCat member libraries worldwide
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G.K. Chesterton. The Scandal of Father 'The Hermit Gad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of s9phistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and largescale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics
Relative invariants of rings : the commutative theory by
F. Van Oystaeyen(
Book
)
15 editions published in 1983 in English and held by 294 WorldCat member libraries worldwide
15 editions published in 1983 in English and held by 294 WorldCat member libraries worldwide
Graded orders by
Lieven Le Bruyn(
Book
)
13 editions published in 1988 in English and Undetermined and held by 276 WorldCat member libraries worldwide
In a clear, welldeveloped presentation this book provides the first systematic treatment of structure results for algebras which are graded by a goup. The fruitful method of constructing graded orders of special kind over a given order, culminating in applications of the construction of generalized Rees rings associated to divisors, is combined with the theory of orders over graded Krull domains. This yields the construction of generalized Rees rings corresponding to the central ramification divisor of the orders and the algebraic properties of the constructed orders. The graded methods allow the study of regularity conditions on order. The book also touches upon representation theoretic methods, including orders of finite representation type and other aspects of this theory applicable to the classification of orders. The final chapter describes the ring theoretical approach to the classification of orders of global dimension two, originally carried out by M. Artin using more geometrical methods. Since its subject is important in many research areas, this book will be valuable reading for all researchers and graduate students with an interest in noncommutative algebra
13 editions published in 1988 in English and Undetermined and held by 276 WorldCat member libraries worldwide
In a clear, welldeveloped presentation this book provides the first systematic treatment of structure results for algebras which are graded by a goup. The fruitful method of constructing graded orders of special kind over a given order, culminating in applications of the construction of generalized Rees rings associated to divisors, is combined with the theory of orders over graded Krull domains. This yields the construction of generalized Rees rings corresponding to the central ramification divisor of the orders and the algebraic properties of the constructed orders. The graded methods allow the study of regularity conditions on order. The book also touches upon representation theoretic methods, including orders of finite representation type and other aspects of this theory applicable to the classification of orders. The final chapter describes the ring theoretical approach to the classification of orders of global dimension two, originally carried out by M. Artin using more geometrical methods. Since its subject is important in many research areas, this book will be valuable reading for all researchers and graduate students with an interest in noncommutative algebra
Relative invariants of rings : the noncommutative theory by
F. Van Oystaeyen(
Book
)
11 editions published in 1984 in English and held by 274 WorldCat member libraries worldwide
11 editions published in 1984 in English and held by 274 WorldCat member libraries worldwide
Brauer groups and the cohomology of graded rings by
Stefaan Caenepeel(
Book
)
7 editions published between 1988 and 1989 in English and held by 270 WorldCat member libraries worldwide
7 editions published between 1988 and 1989 in English and held by 270 WorldCat member libraries worldwide
Ring theory : proceeding of the 1977 Antwerp conference(
Book
)
18 editions published between 1977 and 1979 in English and held by 268 WorldCat member libraries worldwide
18 editions published between 1977 and 1979 in English and held by 268 WorldCat member libraries worldwide
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Audience Level
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Related Identities
 Verschoren, A. 1954 Author Editor
 Năstăsescu, C. (Constantin) 1943 Author
 Caenepeel, Stefaan 1956 Author Editor
 Fiorentini, Mario Other Honoree Dedicatee
 Saorin, Manuel 1959 Editor
 Le Bruyn, Lieven 1958 Author Editor
 Marubayashi, Hidetoshi 1941 Author
 Li, Huishi Author
 Menini, Claudia Author
 Bergh, M. van den Author
Useful Links
Associated Subjects
Algebra Algebra, Abstract Algebraic topology Associative algebras Associative rings Azumaya algebras Brauer groups Commutative algebra Commutative rings Curves, Algebraic Dimension theory (Algebra) Filtered modules Filtered rings Geometry Geometry, Algebraic Graded modules Graded rings Grothendieck groups Group theory Homology theory Hopf algebras Ideals (Algebra) Invariants Mathematical physics Mathematics Modules (Algebra) Noncommutative algebras Noncommutative rings Quantum groups Representations of algebras Rings (Algebra) Schemes (Algebraic geometry) Sheaf theory Spectral theory (Mathematics) Torsion theory (Algebra) Valuation theory
Alternative Names
Fred Van Oystaeyen Belgisch wiskundige
Fred Van Oystaeyen belgisk matematikar
Fred Van Oystaeyen belgisk matematiker
Fred Van Oystaeyen mathematician
Freddy Van Oystaeyen belgischer Mathematiker
Freddy Van Oystaeyen belgisk matematiker
Oystaeyen, F. M. J. van.
Oystaeyen, F. M. J. van 1947
Oystaeyen, F. van.
Oystaeyen, F. van 1947
Oystaeyen, Fred van 1947
Oystaeyen, Freddy M.J. van
Oystaeyen, Freddy M. J. van 1947
Oystaeyen, Freddy M. J. van (Freddy Marguerite Joseph van), 1947
Oystaeyen, Freddy Marguerite Joseph van
Oystaeyen, Freddy Marguerite Joseph van 1947
Oystaeyen, Freddy van.
Oystaeyen Freddy van 1947....
Van Oystaeyen, F.
Van Oystaeyen, F. 1947
Van Oystaeyen, F. (Freddy), 1947
Van Oystaeyen, F. M. J. 1947
Van Oystaeyen, Fred.
Van Oystaeyen, Fred 1947
Van Oystaeyen, Freddy
Van Oystaeyen, Freddy M. J. 1947
Van Oystaeyen, Freddy Marguerite Joseph 1947
VanOystaeyen, F. 1947
VanOystaeyen, Freddy 1947
VanOystaeyen, Freddy M. J. 1947
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