Commutative Algebra
150 Years with Roger and Sylvia Wiegand
Published on 30. August 2022
Book
Paperback/Softback
224 pages
978-1-4704-5601-6 (ISBN)
Description
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 Sao Paulo, Sao Carlos, Brazil, and the AMS Special Session on Commutative Algebra, held from September 14-15, 2019, at the University of Wisconsin-Madison, 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 Cohen-Macaulay 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.
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 Cohen-Macaulay 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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
178 gr
ISBN-13
978-1-4704-5601-6 (9781470456016)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Persons
Nicholas R. Baeth, Franklin & Marshall College, Lancaster, PA.
Thiago H. Freitas, Universidade Tecnologica Federal do Parana, Brazil.
Graham J. Leuschke, Syracuse University, NY.
Victor H. Jorge Perez, Universidade de Sao Paulo, Sao Carlos, Brazil.
Thiago H. Freitas, Universidade Tecnologica Federal do Parana, Brazil.
Graham J. Leuschke, Syracuse University, NY.
Victor H. Jorge Perez, Universidade de Sao Paulo, Sao Carlos, Brazil.
Content
O. Celikbas, H. Matsui, and A. Sadeghi, On an example concerning the second rigidity theorem
L. W. Christensen and S. B. Iyengar, Dimension of finite free complexes over commutative Noetherian rings
S. D. Cutkosky, Examples of multiplicities and mixed multiplicities of filtrations
D. Eisenbud and F.-O. Schreyer, Tate resolutions and MCM approximations
R. C. Heitmann, The Etale locus in complete local rings
M. Hochster and J. Jeffries, Extensions of primes, flatness, and intersection flatness
C. R. Gibbons, D. A. Jorgensen, and J. Striuli, $L$-dimension for modules over a local ring
L. Klingler and A. Omairi, $h$-local rings
S. Hengeveld, G. Labruna, and A. Li, Magic squares of squares over a finite field
P. H. Lima, A generalization of coefficient ideals
E. Barrett, E. Graf, S. Loepp, K. Strong, and S. Zhang, Cardinalities of prime spectra of precompletions
K. Sather-Wagstaff, Ascent properties for test modules
P. Schenzel, Notes on endomorphisms, local cohomology and completion
K. Shultis and P. Thompson, Reducibility of parameter ideals in low powers of the maximal ideal
S. El Khoury, M. Kummini, and H. Srinivasan, An upper bound for the first Hilbert coefficient of Gorenstein algebras and modules
A. Banerjee, K. Goel, and J. K. Verma, Generalized Hilbert-Kunz function of the Rees algebra of the face ring of a simplicial complex
L. W. Christensen and S. B. Iyengar, Dimension of finite free complexes over commutative Noetherian rings
S. D. Cutkosky, Examples of multiplicities and mixed multiplicities of filtrations
D. Eisenbud and F.-O. Schreyer, Tate resolutions and MCM approximations
R. C. Heitmann, The Etale locus in complete local rings
M. Hochster and J. Jeffries, Extensions of primes, flatness, and intersection flatness
C. R. Gibbons, D. A. Jorgensen, and J. Striuli, $L$-dimension for modules over a local ring
L. Klingler and A. Omairi, $h$-local rings
S. Hengeveld, G. Labruna, and A. Li, Magic squares of squares over a finite field
P. H. Lima, A generalization of coefficient ideals
E. Barrett, E. Graf, S. Loepp, K. Strong, and S. Zhang, Cardinalities of prime spectra of precompletions
K. Sather-Wagstaff, Ascent properties for test modules
P. Schenzel, Notes on endomorphisms, local cohomology and completion
K. Shultis and P. Thompson, Reducibility of parameter ideals in low powers of the maximal ideal
S. El Khoury, M. Kummini, and H. Srinivasan, An upper bound for the first Hilbert coefficient of Gorenstein algebras and modules
A. Banerjee, K. Goel, and J. K. Verma, Generalized Hilbert-Kunz function of the Rees algebra of the face ring of a simplicial complex