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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]

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]
Contributor
Subject
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 non-Noetherian 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 twenty-four 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 in-depth 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]
Instantiates
Publication
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 zero-dimensional rings / Jim Brewer and Fred Richman -- Old problems and new questions around integer-valued polynomials and factorial sequences / Jean-Luc Chabert and Paul-Jean Cahen -- Robert Gilmer's contributions to the theory of integer-valued 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 -- Direct-sum decompositions over one-dimensional Cohen-Macaulay 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 -- Non-unique factorizations : a survey / Alfred Geroldinger and Franz Halter-Koch -- 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 Picavet-L'Hermitte -- What v-coprimality 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]
Publication
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 zero-dimensional rings / Jim Brewer and Fred Richman -- Old problems and new questions around integer-valued polynomials and factorial sequences / Jean-Luc Chabert and Paul-Jean Cahen -- Robert Gilmer's contributions to the theory of integer-valued 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 -- Direct-sum decompositions over one-dimensional Cohen-Macaulay 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 -- Non-unique factorizations : a survey / Alfred Geroldinger and Franz Halter-Koch -- 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 Picavet-L'Hermitte -- What v-coprimality 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

Library Locations

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      104 Ellis Library, Columbia, MO, 65201, US
      38.944377 -92.326537
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