Commutative Algebra 150 Years With Roger And Sylvia Wiegand
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Author | : Nicholas R. Baeth |
Publisher | : American Mathematical Soc. |
Total Pages | : 224 |
Release | : 2021-10-06 |
Genre | : Education |
ISBN | : 147045601X |
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.
Author | : Nicholas R. Baeth |
Publisher | : |
Total Pages | : 224 |
Release | : 1900 |
Genre | : Commutative algebra |
ISBN | : 9781470465155 |
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.
Author | : Irena Peeva |
Publisher | : Springer Nature |
Total Pages | : 898 |
Release | : 2022-02-18 |
Genre | : Mathematics |
ISBN | : 3030896943 |
This contributed volume is a follow-up to the 2013 volume of the same title, published in honor of noted Algebraist David Eisenbud's 65th birthday. It brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also relations to Algebraic Geometry, Category Theory, Combinatorics, Computational Algebra, Homological Algebra, Hyperplane Arrangements, and Non-commutative Algebra. The book aims to showcase the area and aid junior mathematicians and researchers who are new to the field in broadening their background and gaining a deeper understanding of the current research in this area. Exciting developments are surveyed and many open problems are discussed with the aspiration to inspire the readers and foster further research.
Author | : Holger Brenner |
Publisher | : American Mathematical Soc. |
Total Pages | : 202 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : 0821844342 |
These lectures provides detailed introductions to some of the latest advances in three significant areas of rapid development in commutative algebra and its applications: tight closure and vector bundles; combinatorics and commutative algebra; constructive desingularization."
Author | : Marco Fontana |
Publisher | : CRC Press |
Total Pages | : 517 |
Release | : 2002-10-01 |
Genre | : Mathematics |
ISBN | : 9781135565039 |
Featuring presentations from the Fourth International Conference on Commutative Algebra held in Fez, Morocco, this reference presents trends in the growing area of commutative algebra. With contributions from nearly 50 internationally renowned researchers, the book emphasizes innovative applications and connections to algebraic number theory, geometry, and homological and computational algebra. Presenting challenging problems of contemporary interest, discussions include linear Diophantine equations, going-down and going-up properties, and graded modules and analytic spread. They also cover algebroid curves and chain conditions, ideals and modules, and integral independence.
Author | : Aron Simis |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 495 |
Release | : 2023-08-07 |
Genre | : Mathematics |
ISBN | : 3111078841 |
The primary audience for this book is students and the young researchers interested in the core of the discipline. Commutative algebra is by and large a self-contained discipline, which makes it quite dry for the beginner with a basic training in elementary algebra and calculus. A stable mathematical discipline such as this enshrines a vital number of topics to be learned at an early stage, more or less universally accepted and practiced. Naturally, authors tend to turn these topics into an increasingly short and elegant list of basic facts of the theory. So, the shorter the better. However, there is a subtle watershed between elegance and usefulness, especially if the target is the beginner. From my experience throughout years of teaching, elegance and terseness do not do it, except much later in the carrier. To become useful, the material ought to carry quite a bit of motivation through justification and usefulness pointers. On the other hand, it is difficult to contemplate these teaching devices in the writing of a short book. I have divided the material in three parts. starting with more elementary sections, then carrying an intermezzo on more difficult themes to make up for a smooth crescendo with additional tools and, finally, the more advanced part, versing on a reasonable chunk of present-day steering of commutative algebra. Historic notes at the end of each chapter provide insight into the original sources and background information on a particular subject or theorem. Exercises are provided and propose problems that apply the theory to solve concrete questions (yes, with concrete polynomials, and so forth).
Author | : American Mathematical Society |
Publisher | : |
Total Pages | : 586 |
Release | : 1992 |
Genre | : Mathematics |
ISBN | : |
Author | : Luchezar L. Avramov |
Publisher | : |
Total Pages | : 358 |
Release | : 2003 |
Genre | : Commutative algebra |
ISBN | : 9780821832332 |
Author | : Lance W. Small |
Publisher | : |
Total Pages | : 712 |
Release | : 1986 |
Genre | : Mathematics |
ISBN | : |
Author | : Viviana Ene |
Publisher | : |
Total Pages | : 164 |
Release | : 2012 |
Genre | : Commutative algebra |
ISBN | : 9780821883273 |