Dauns, John
Overview
Works:  16 works in 72 publications in 4 languages and 1,656 library holdings 

Genres:  Examinations Academic theses 
Roles:  Author 
Publication Timeline
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Most widely held works about
John Dauns
 Retrospectiva biográfica de un algebristaJohn Dauns in memoriam Biographical retrospective of an algebraist John Dauns In memoriam by Jorge Eduardo Macías Díaz( )
Most widely held works by
John Dauns
Representation of rings by sections by
John Dauns(
)
18 editions published between 1968 and 1983 in English and Italian and held by 697 WorldCat member libraries worldwide
This monograph lays the foundations of a theory that generalizes the studies of sheaves and fibre bundles. The basic new notion introduced here is called a "field of structures". In its simplest form, a field (of topological spaces) is a continuous mapping [Greek lowercase]Pi: E [function arrow] B, where E and B are spaces, such that E is the union of the images of local sections (defined in the usual way). More sophistication is introduced by imposing algebraic and topological structure on the stalks of the field, subject to suitable continuity conditions. The resulting object is more general than a fibre bundle, by virtue of the variability of its stalks, and richer in structure than a sheaf, because its stalks are not necessarily discrete. A large part of the book is concerned with applying this new concept to the representation of topological algebras and rings. In particular, the authors introduce some promising new techniques to the theory of C*algebras
18 editions published between 1968 and 1983 in English and Italian and held by 697 WorldCat member libraries worldwide
This monograph lays the foundations of a theory that generalizes the studies of sheaves and fibre bundles. The basic new notion introduced here is called a "field of structures". In its simplest form, a field (of topological spaces) is a continuous mapping [Greek lowercase]Pi: E [function arrow] B, where E and B are spaces, such that E is the union of the images of local sections (defined in the usual way). More sophistication is introduced by imposing algebraic and topological structure on the stalks of the field, subject to suitable continuity conditions. The resulting object is more general than a fibre bundle, by virtue of the variability of its stalks, and richer in structure than a sheaf, because its stalks are not necessarily discrete. A large part of the book is concerned with applying this new concept to the representation of topological algebras and rings. In particular, the authors introduce some promising new techniques to the theory of C*algebras
Modules and rings by
John Dauns(
Book
)
18 editions published between 1994 and 2009 in English and held by 432 WorldCat member libraries worldwide
This book on modern and noncommutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. Students will have the chance to develop proofs, solve problems, and to find interesting questions. The first half of the book is concerned with free, projective and injective modules, tensor algebras, simple modules and primitive rings, the Jacobson radical, and subdirect products. Later in the book, more advanced topics, such as hereditary rings, categories and functors, flat modules and purity are introduced. These later chapters will also prove a useful reference for researchers in noncommutative ring theory. Enough background material (including detailed proofs) is supplied to give the student a firm grounding in the subject
18 editions published between 1994 and 2009 in English and held by 432 WorldCat member libraries worldwide
This book on modern and noncommutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. Students will have the chance to develop proofs, solve problems, and to find interesting questions. The first half of the book is concerned with free, projective and injective modules, tensor algebras, simple modules and primitive rings, the Jacobson radical, and subdirect products. Later in the book, more advanced topics, such as hereditary rings, categories and functors, flat modules and purity are introduced. These later chapters will also prove a useful reference for researchers in noncommutative ring theory. Enough background material (including detailed proofs) is supplied to give the student a firm grounding in the subject
Classes of modules by
John Dauns(
Book
)
13 editions published in 2006 in English and held by 249 WorldCat member libraries worldwide
Classes of Modules demonstrates that in the next generation of ring and module theory, it will be very important to work with the type dimension of a module, natural classes, and type submodules. This book presents the concepts of type dimension, a natural class, and a type submodule, by exploring how they enter into much of ring and module theory. It carefully develops the foundations of the subject and the advanced theorems. Selfcontained, accessible, and wellsuited for those with some background in basic ring and module theory, this text compiles material that was previously scattered throughout the literature, along with improved and extended results as well as simplified proofs
13 editions published in 2006 in English and held by 249 WorldCat member libraries worldwide
Classes of Modules demonstrates that in the next generation of ring and module theory, it will be very important to work with the type dimension of a module, natural classes, and type submodules. This book presents the concepts of type dimension, a natural class, and a type submodule, by exploring how they enter into much of ring and module theory. It carefully develops the foundations of the subject and the advanced theorems. Selfcontained, accessible, and wellsuited for those with some background in basic ring and module theory, this text compiles material that was previously scattered throughout the literature, along with improved and extended results as well as simplified proofs
A concrete approach to division rings by
John Dauns(
Book
)
6 editions published in 1982 in English and German and held by 199 WorldCat member libraries worldwide
6 editions published in 1982 in English and German and held by 199 WorldCat member libraries worldwide
College algebra by
John L Van Iwaarden(
Book
)
2 editions published between 1998 and 1999 in English and held by 53 WorldCat member libraries worldwide
2 editions published between 1998 and 1999 in English and held by 53 WorldCat member libraries worldwide
Calculus II by
Joan Van Glabek(
Book
)
1 edition published in 1998 in English and held by 5 WorldCat member libraries worldwide
1 edition published in 1998 in English and held by 5 WorldCat member libraries worldwide
Classes of modules by
John Dauns(
Book
)
2 editions published in 2006 in English and held by 4 WorldCat member libraries worldwide
2 editions published in 2006 in English and held by 4 WorldCat member libraries worldwide
A concrete approach to division rings by
John Dauns(
Book
)
3 editions published in 1982 in English and held by 4 WorldCat member libraries worldwide
3 editions published in 1982 in English and held by 4 WorldCat member libraries worldwide
A concrete approach to division rings by
John Dauns(
Book
)
1 edition published in 1982 in English and held by 3 WorldCat member libraries worldwide
1 edition published in 1982 in English and held by 3 WorldCat member libraries worldwide
Rapresentation of rings by sections by
John Dauns(
Book
)
2 editions published in 1968 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1968 in English and held by 2 WorldCat member libraries worldwide
Torsion free modules by
John Dauns(
)
1 edition published in 1989 in English and held by 2 WorldCat member libraries worldwide
1 edition published in 1989 in English and held by 2 WorldCat member libraries worldwide
Convolution transforms whose inversion functions have complex roots by
John Dauns(
Book
)
1 edition published in 1964 in English and held by 1 WorldCat member library worldwide
1 edition published in 1964 in English and held by 1 WorldCat member library worldwide
A concrete approach to division rings by
John Dauns(
Book
)
1 edition published in 1982 in English and held by 1 WorldCat member library worldwide
1 edition published in 1982 in English and held by 1 WorldCat member library worldwide
Representation of rings by sections by
John Dauns(
)
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
1 edition published in 2012 in English and held by 1 WorldCat member library worldwide
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