The Resource Multiplicative ideal theory in commutative algebra : a tribute to the work of Robert Gilmer, edited by James W. Brewer [and others]
Multiplicative ideal theory in commutative algebra : a tribute to the work of Robert Gilmer, edited by James W. Brewer [and others]
Resource Information
The item Multiplicative ideal theory in commutative algebra : a tribute to the work of Robert Gilmer, edited by James W. Brewer [and others] represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Multiplicative ideal theory in commutative algebra : a tribute to the work of Robert Gilmer, edited by James W. Brewer [and others] represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 For over forty years, Robert Gilmer's numerous articles and books have had a tremendous impact on research in commutative algebra. It is not an exaggeration to say that most articles published today in nonNoetherian ring theory, and some in Noetherian ring theory as well, originated in a topic that Gilmer either initiated or enriched by his work. This volume, a tribute to his work, consists of twentyfour articles authored by Robert Gilmer's most prominent students and followers. These articles combine surveys of past work by Gilmer and others, recent results which have never before seen print, open problems, and extensive bibliographies. In a concluding article, Robert Gilmer points out directions for future research, highlighting the open problems in the areas he considers of importance. Robert Gilmer's article is followed by the complete list of his published works, his mathematical genealogical tree, information on the writing of his four books, and reminiscences about Robert Gilmer's contributions to the stimulating research environment in commutative algebra at Florida State in the middle 1960s. The entire collection provides an indepth overview of the topics of research in a significant and large area of commutative algebra. Audience This book is intended for researchers and graduate students in the field of commutative algebra
 Language
 eng
 Extent
 1 online resource (xv, 435 pages)
 Contents

 Commutative rngs
 Robert Gilmer's work on semigroup rings
 Numerical semigroup algebras
 Prüfer rings
 Subrings of zerodimensional rings
 Old problems and new questions around integervalued polynomials and factorial sequences
 Robert Gilmer's contributions to the theory of integervalued polynomials
 Progress on the dimension question for power series rings
 Some research on chains of prime ideals influenced by the writings of Robert Gilmer
 Directsum decompositions over onedimensional CohenMacaulay local rings
 An historical overview of Kronecker function rings, Nagata rings, and related star and semistar operations
 Generalized Dedekind domains
 Nonunique factorizations: a survey
 Mixed polynomial/power series rings and relatinos among their spectra
 Uppers to zero in polynomial rings
 On the dimension theory of polynomial rings over pullbacks
 Almost Dedekind domains which are not Dedekind
 Integrality properties of polynomial rings and semigroup rings
 Punctually free ideals
 Holomorphy rings of function fields
 The minimal number of generators of an invertible ideal
 About minimal morphisms
 What vcoprimality can do for you
 Some questions for further research
 Robert Gilmer's published works
 Commutative Algebra at Florida State 19631968
 Isbn
 9780387246000
 Label
 Multiplicative ideal theory in commutative algebra : a tribute to the work of Robert Gilmer
 Title
 Multiplicative ideal theory in commutative algebra
 Title remainder
 a tribute to the work of Robert Gilmer
 Statement of responsibility
 edited by James W. Brewer [and others]
 Language
 eng
 Summary
 For over forty years, Robert Gilmer's numerous articles and books have had a tremendous impact on research in commutative algebra. It is not an exaggeration to say that most articles published today in nonNoetherian ring theory, and some in Noetherian ring theory as well, originated in a topic that Gilmer either initiated or enriched by his work. This volume, a tribute to his work, consists of twentyfour articles authored by Robert Gilmer's most prominent students and followers. These articles combine surveys of past work by Gilmer and others, recent results which have never before seen print, open problems, and extensive bibliographies. In a concluding article, Robert Gilmer points out directions for future research, highlighting the open problems in the areas he considers of importance. Robert Gilmer's article is followed by the complete list of his published works, his mathematical genealogical tree, information on the writing of his four books, and reminiscences about Robert Gilmer's contributions to the stimulating research environment in commutative algebra at Florida State in the middle 1960s. The entire collection provides an indepth overview of the topics of research in a significant and large area of commutative algebra. Audience This book is intended for researchers and graduate students in the field of commutative algebra
 Cataloging source
 GW5XE
 Dewey number
 512/.44
 Illustrations

 illustrations
 portraits
 Index
 index present
 LC call number
 QA251.3
 LC item number
 .M85 2006eb
 Literary form
 non fiction
 Nature of contents

 dictionaries
 bibliography
 http://library.link/vocab/relatedWorkOrContributorDate
 1942
 http://library.link/vocab/relatedWorkOrContributorName

 Brewer, James W.
 Gilmer, Robert W
 http://library.link/vocab/subjectName

 Commutative rings
 Rings (Algebra)
 Ideals (Algebra)
 MATHEMATICS
 Rings (Algebra)
 Ideals (Algebra)
 Commutative rings
 Commutative rings
 Ideals (Algebra)
 Rings (Algebra)
 Label
 Multiplicative ideal theory in commutative algebra : a tribute to the work of Robert Gilmer, edited by James W. Brewer [and others]
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Commutative rngs  Robert Gilmer's work on semigroup rings  Numerical semigroup algebras  Prüfer rings  Subrings of zerodimensional rings  Old problems and new questions around integervalued polynomials and factorial sequences  Robert Gilmer's contributions to the theory of integervalued polynomials  Progress on the dimension question for power series rings  Some research on chains of prime ideals influenced by the writings of Robert Gilmer  Directsum decompositions over onedimensional CohenMacaulay local rings  An historical overview of Kronecker function rings, Nagata rings, and related star and semistar operations  Generalized Dedekind domains  Nonunique factorizations: a survey  Mixed polynomial/power series rings and relatinos among their spectra  Uppers to zero in polynomial rings  On the dimension theory of polynomial rings over pullbacks  Almost Dedekind domains which are not Dedekind  Integrality properties of polynomial rings and semigroup rings  Punctually free ideals  Holomorphy rings of function fields  The minimal number of generators of an invertible ideal  About minimal morphisms  What vcoprimality can do for you  Some questions for further research  Robert Gilmer's published works  Commutative Algebra at Florida State 19631968
 Control code
 209907043
 Dimensions
 unknown
 Extent
 1 online resource (xv, 435 pages)
 Form of item
 online
 Isbn
 9780387246000
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number

 9780387246000
 10.1007/9780387367170.
 Other physical details
 illustrations, portrait
 http://library.link/vocab/ext/overdrive/overdriveId
 9780387246000
 Specific material designation
 remote
 System control number
 (OCoLC)209907043
 Label
 Multiplicative ideal theory in commutative algebra : a tribute to the work of Robert Gilmer, edited by James W. Brewer [and others]
 Bibliography note
 Includes bibliographical references and index
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 multicolored
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Commutative rngs  Robert Gilmer's work on semigroup rings  Numerical semigroup algebras  Prüfer rings  Subrings of zerodimensional rings  Old problems and new questions around integervalued polynomials and factorial sequences  Robert Gilmer's contributions to the theory of integervalued polynomials  Progress on the dimension question for power series rings  Some research on chains of prime ideals influenced by the writings of Robert Gilmer  Directsum decompositions over onedimensional CohenMacaulay local rings  An historical overview of Kronecker function rings, Nagata rings, and related star and semistar operations  Generalized Dedekind domains  Nonunique factorizations: a survey  Mixed polynomial/power series rings and relatinos among their spectra  Uppers to zero in polynomial rings  On the dimension theory of polynomial rings over pullbacks  Almost Dedekind domains which are not Dedekind  Integrality properties of polynomial rings and semigroup rings  Punctually free ideals  Holomorphy rings of function fields  The minimal number of generators of an invertible ideal  About minimal morphisms  What vcoprimality can do for you  Some questions for further research  Robert Gilmer's published works  Commutative Algebra at Florida State 19631968
 Control code
 209907043
 Dimensions
 unknown
 Extent
 1 online resource (xv, 435 pages)
 Form of item
 online
 Isbn
 9780387246000
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number

 9780387246000
 10.1007/9780387367170.
 Other physical details
 illustrations, portrait
 http://library.link/vocab/ext/overdrive/overdriveId
 9780387246000
 Specific material designation
 remote
 System control number
 (OCoLC)209907043
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Multiplicativeidealtheoryincommutative/4AzE1nRIB0/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Multiplicativeidealtheoryincommutative/4AzE1nRIB0/">Multiplicative ideal theory in commutative algebra : a tribute to the work of Robert Gilmer, edited by James W. Brewer [and others]</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>