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]
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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."Publisher's website
 Language
 eng
 Extent
 xv, 435 pages
 Contents

 Commutative rngs / D. D. Anderson
 Robert Gilmer's work on semigroup rings / David F. Anderson
 Numerical semigroup algebras / Valentina Barucci
 Prufer rings / Silvana Bazzoni and Sarah Glaz
 Subrings of zerodimensional rings / Jim Brewer and Fred Richman
 Old problems and new questions around integervalued polynomials and factorial sequences / JeanLuc Chabert and PaulJean Cahen
 Robert Gilmer's contributions to the theory of integervalued polynomials / Scott T. Chapman, Vadim Ponomarenko and William W. Smith
 Progress on the dimension question for power series rings / Jim Coykendall
 Some research on chains of prime ideals influenced by the writings of Robert Gilmer / D. E. Dobbs
 Directsum decompositions over onedimensional CohenMacaulay local rings / Alberto Facchini, Wolfgang Hassler, Lee Klingler and Roger Wiegand
 An historical overview of Kronecker function rings, Nagata rings, end related star and semistar operations / Marco Fontana and K. Alan Loper
 Generalized Dedekind domains / Stefania Gabelli
 Nonunique factorizations : a survey / Alfred Geroldinger and Franz HalterKoch
 Mixed polynomial/power series rings and relations among their spectra / William Heinzer, Christel Rotthaus and Sylvia Wiegand
 Uppers to zero in polynomial rings / Even Houston
 On the dimension theory of polynomial rings over pullbacks / S. Kabbaj
 Almost Dedekind domains which are not Dedekind / K. Alan Loper
 Integrality properties of polynomial rings and semigroup rings / Thomas G. Lucas
 Punctually free ideals / Jack Ohm
 Holomorphy rings of function fields / Bruce Olberding
 The minimal number of generators of an invertible ideal / Bruce Olberding and Moshe Roitman
 About minimal morphisms / Gabriel Picavet and Martine PicavetL'Hermitte
 What vcoprimality can do for you / Muhammad Zafrullah
 Some questions for further research / Robert Gilmer
 Robert Gilmer's published works
 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."Publisher's website
 Cataloging source
 OHX
 Illustrations

 illustrations
 portraits
 Index
 index present
 Literary form
 non fiction
 Nature of contents
 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)
 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
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Commutative rngs / D. D. Anderson  Robert Gilmer's work on semigroup rings / David F. Anderson  Numerical semigroup algebras / Valentina Barucci  Prufer rings / Silvana Bazzoni and Sarah Glaz  Subrings of zerodimensional rings / Jim Brewer and Fred Richman  Old problems and new questions around integervalued polynomials and factorial sequences / JeanLuc Chabert and PaulJean Cahen  Robert Gilmer's contributions to the theory of integervalued polynomials / Scott T. Chapman, Vadim Ponomarenko and William W. Smith  Progress on the dimension question for power series rings / Jim Coykendall  Some research on chains of prime ideals influenced by the writings of Robert Gilmer / D. E. Dobbs  Directsum decompositions over onedimensional CohenMacaulay local rings / Alberto Facchini, Wolfgang Hassler, Lee Klingler and Roger Wiegand  An historical overview of Kronecker function rings, Nagata rings, end related star and semistar operations / Marco Fontana and K. Alan Loper  Generalized Dedekind domains / Stefania Gabelli  Nonunique factorizations : a survey / Alfred Geroldinger and Franz HalterKoch  Mixed polynomial/power series rings and relations among their spectra / William Heinzer, Christel Rotthaus and Sylvia Wiegand  Uppers to zero in polynomial rings / Even Houston  On the dimension theory of polynomial rings over pullbacks / S. Kabbaj  Almost Dedekind domains which are not Dedekind / K. Alan Loper  Integrality properties of polynomial rings and semigroup rings / Thomas G. Lucas  Punctually free ideals / Jack Ohm  Holomorphy rings of function fields / Bruce Olberding  The minimal number of generators of an invertible ideal / Bruce Olberding and Moshe Roitman  About minimal morphisms / Gabriel Picavet and Martine PicavetL'Hermitte  What vcoprimality can do for you / Muhammad Zafrullah  Some questions for further research / Robert Gilmer  Robert Gilmer's published works
 Control code
 76685417
 Dimensions
 25 cm
 Extent
 xv, 435 pages
 Isbn
 9780387246000
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other control number
 9780387246000
 Other physical details
 illustrations, portrait
 System control number
 (OCoLC)76685417
 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
 volume
 Carrier category code

 nc
 Carrier MARC source
 rdacarrier
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Commutative rngs / D. D. Anderson  Robert Gilmer's work on semigroup rings / David F. Anderson  Numerical semigroup algebras / Valentina Barucci  Prufer rings / Silvana Bazzoni and Sarah Glaz  Subrings of zerodimensional rings / Jim Brewer and Fred Richman  Old problems and new questions around integervalued polynomials and factorial sequences / JeanLuc Chabert and PaulJean Cahen  Robert Gilmer's contributions to the theory of integervalued polynomials / Scott T. Chapman, Vadim Ponomarenko and William W. Smith  Progress on the dimension question for power series rings / Jim Coykendall  Some research on chains of prime ideals influenced by the writings of Robert Gilmer / D. E. Dobbs  Directsum decompositions over onedimensional CohenMacaulay local rings / Alberto Facchini, Wolfgang Hassler, Lee Klingler and Roger Wiegand  An historical overview of Kronecker function rings, Nagata rings, end related star and semistar operations / Marco Fontana and K. Alan Loper  Generalized Dedekind domains / Stefania Gabelli  Nonunique factorizations : a survey / Alfred Geroldinger and Franz HalterKoch  Mixed polynomial/power series rings and relations among their spectra / William Heinzer, Christel Rotthaus and Sylvia Wiegand  Uppers to zero in polynomial rings / Even Houston  On the dimension theory of polynomial rings over pullbacks / S. Kabbaj  Almost Dedekind domains which are not Dedekind / K. Alan Loper  Integrality properties of polynomial rings and semigroup rings / Thomas G. Lucas  Punctually free ideals / Jack Ohm  Holomorphy rings of function fields / Bruce Olberding  The minimal number of generators of an invertible ideal / Bruce Olberding and Moshe Roitman  About minimal morphisms / Gabriel Picavet and Martine PicavetL'Hermitte  What vcoprimality can do for you / Muhammad Zafrullah  Some questions for further research / Robert Gilmer  Robert Gilmer's published works
 Control code
 76685417
 Dimensions
 25 cm
 Extent
 xv, 435 pages
 Isbn
 9780387246000
 Media category
 unmediated
 Media MARC source
 rdamedia
 Media type code

 n
 Other control number
 9780387246000
 Other physical details
 illustrations, portrait
 System control number
 (OCoLC)76685417
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