**Contemporary Mathematics**

Volume: 773;
2021;
224 pp;
Softcover

MSC: Primary 13;

**Print ISBN: 978-1-4704-5601-6
Product Code: CONM/773**

List Price: $122.00

AMS Member Price: $97.60

MAA Member Price: $109.80

**Electronic ISBN: 978-1-4704-6515-5
Product Code: CONM/773.E**

List Price: $122.00

AMS Member Price: $97.60

MAA Member Price: $109.80

# Commutative Algebra: 150 Years with Roger and Sylvia Wiegand

Share this page *Edited by *
*Nicholas R. Baeth; Thiago H. Freitas; Graham J. Leuschke; Victor H. Jorge Pérez*

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 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.

#### Readership

Graduate students and research mathematicians interested in commutative algebra.

# Table of Contents

## Commutative Algebra: 150 Years with Roger and Sylvia Wiegand

- Cover Cover11
- Title page iii4
- Contents v6
- Two conferences vii8
- The life and times of Roger and Sylvia Wiegand ix10
- The mathematics of Sylvia and Roger Wiegand xiii14
- Bibliography xvi17
- On an example concerning the second rigidity theorem 120
- Dimension of finite free complexes over commutative Noetherian rings 1130
- Examples of multiplicities and mixed multiplicities of filtrations 1938
- Tate resolutions and MCM approximations 3554
- The Étale locus in complete local rings 4968
- Extensions of primes, flatness, and intersection flatness 6382
- 𝐿-dimension for modules over a local ring 83102
- ℎ-local Rings 93112
- Magic squares of squares over a finite field 111130
- A generalization of coefficient ideals 123142
- Cardinalities of prime spectra of precompletions 133152
- Ascent properties for test modules 153172
- Notes on endomorphisms, local cohomology and completion 169188
- Reducibility of parameter ideals in low powers of the maximal ideal 181200
- An upper bound for the first Hilbert coefficient of Gorenstein algebras and modules 195214
- Generalized Hilbert-Kunz function of the Rees algebra of the face ring of a simplicial complex 207226
- Back Cover Back Cover1246