Softcover ISBN:  9781470456016 
Product Code:  CONM/773 
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MAA Member Price:  $109.80 
AMS Member Price:  $97.60 
Electronic ISBN:  9781470465155 
Product Code:  CONM/773.E 
List Price:  $122.00 
MAA Member Price:  $109.80 
AMS Member Price:  $97.60 

Book DetailsContemporary MathematicsVolume: 773; 2021; 224 ppMSC: Primary 13;
This volume contains the combined Proceedings of the Second International Meeting on Commutative Algebra and Related Areas (SIMCARA) held from July 22–26, 2019, at the Universidade de São Paulo, São Carlos, Brazil, and the AMS Special Session on Commutative Algebra, held from September 14–15, 2019, at the University of WisconsinMadison, Wisconsin.
These two meetings celebrated the combined 150th birthday of Roger and Sylvia Wiegand. The Wiegands have been a fixture in the commutative algebra community, as well as the wider mathematical community, for over 40 years.
Articles in this volume cover various areas of factorization theory, homological algebra, ideal theory, representation theory, homological rigidity, maximal CohenMacaulay modules, and the behavior of prime spectra under completion, as well as some topics in related fields. The volume itself bears evidence that the area of commutative algebra is a vibrant one and highlights the influence of the Wiegands on generations of researchers. It will be useful to researchers and graduate students.ReadershipGraduate students and research mathematicians interested in commutative algebra.

Table of Contents

Articles

Olgur Celikbas, Hiroki Matsui and Arash Sadeghi  On an example concerning the second rigidity theorem

Lars Winther Christensen and Srikanth B. Iyengar  Dimension of finite free complexes over commutative Noetherian rings

Steven Dale Cutkosky  Examples of multiplicities and mixed multiplicities of filtrations

David Eisenbud and FrankOlaf Schreyer  Tate resolutions and MCM approximations

Raymond C. Heitmann  The Étale locus in complete local rings

Melvin Hochster and Jack Jeffries  Extensions of primes, flatness, and intersection flatness

Courtney R. Gibbons, David A. Jorgensen and Janet Striuli  $L$dimension for modules over a local ring

L. Klingler and A. Omairi  $h$local Rings

Stewart Hengeveld, Giancarlo Labruna and Aihua Li  Magic squares of squares over a finite field

P. H. Lima  A generalization of coefficient ideals

Erica Barrett, Emil Graf, S. Loepp, Kimball Strong and Sharon Zhang  Cardinalities of prime spectra of precompletions

Keri SatherWagstaff  Ascent properties for test modules

Peter Schenzel  Notes on endomorphisms, local cohomology and completion

Katharine Shultis and Peder Thompson  Reducibility of parameter ideals in low powers of the maximal ideal

Sabine El Khoury, Manoj Kummini and Hema Srinivasan  An upper bound for the first Hilbert coefficient of Gorenstein algebras and modules

Arindam Banerjee, Kriti Goel and J. K. Verma  Generalized HilbertKunz function of the Rees algebra of the face ring of a simplicial complex


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This volume contains the combined Proceedings of the Second International Meeting on Commutative Algebra and Related Areas (SIMCARA) held from July 22–26, 2019, at the Universidade de São Paulo, São Carlos, Brazil, and the AMS Special Session on Commutative Algebra, held from September 14–15, 2019, at the University of WisconsinMadison, Wisconsin.
These two meetings celebrated the combined 150th birthday of Roger and Sylvia Wiegand. The Wiegands have been a fixture in the commutative algebra community, as well as the wider mathematical community, for over 40 years.
Articles in this volume cover various areas of factorization theory, homological algebra, ideal theory, representation theory, homological rigidity, maximal CohenMacaulay modules, and the behavior of prime spectra under completion, as well as some topics in related fields. The volume itself bears evidence that the area of commutative algebra is a vibrant one and highlights the influence of the Wiegands on generations of researchers. It will be useful to researchers and graduate students.
Graduate students and research mathematicians interested in commutative algebra.

Articles

Olgur Celikbas, Hiroki Matsui and Arash Sadeghi  On an example concerning the second rigidity theorem

Lars Winther Christensen and Srikanth B. Iyengar  Dimension of finite free complexes over commutative Noetherian rings

Steven Dale Cutkosky  Examples of multiplicities and mixed multiplicities of filtrations

David Eisenbud and FrankOlaf Schreyer  Tate resolutions and MCM approximations

Raymond C. Heitmann  The Étale locus in complete local rings

Melvin Hochster and Jack Jeffries  Extensions of primes, flatness, and intersection flatness

Courtney R. Gibbons, David A. Jorgensen and Janet Striuli  $L$dimension for modules over a local ring

L. Klingler and A. Omairi  $h$local Rings

Stewart Hengeveld, Giancarlo Labruna and Aihua Li  Magic squares of squares over a finite field

P. H. Lima  A generalization of coefficient ideals

Erica Barrett, Emil Graf, S. Loepp, Kimball Strong and Sharon Zhang  Cardinalities of prime spectra of precompletions

Keri SatherWagstaff  Ascent properties for test modules

Peter Schenzel  Notes on endomorphisms, local cohomology and completion

Katharine Shultis and Peder Thompson  Reducibility of parameter ideals in low powers of the maximal ideal

Sabine El Khoury, Manoj Kummini and Hema Srinivasan  An upper bound for the first Hilbert coefficient of Gorenstein algebras and modules

Arindam Banerjee, Kriti Goel and J. K. Verma  Generalized HilbertKunz function of the Rees algebra of the face ring of a simplicial complex