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 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
- 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 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
- 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 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]
- 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]
- 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 Links
Embed
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Multiplicative-ideal-theory-in-commutative/Z1PKflLY3E8/" 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/Multiplicative-ideal-theory-in-commutative/Z1PKflLY3E8/">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>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data - Experimental
Data Citation of the Item Multiplicative ideal theory in commutative algebra : a tribute to the work of Robert Gilmer, edited by James W. Brewer [and others]
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa fa-external-link-square fa-fw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Multiplicative-ideal-theory-in-commutative/Z1PKflLY3E8/" 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/Multiplicative-ideal-theory-in-commutative/Z1PKflLY3E8/">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>
