Commutative Algebra 150 Years With Roger And Sylvia Wiegand

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Commutative Algebra 150 Years With Roger And Sylvia Wiegand
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Author : Nicholas R. Baeth
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-10-06
Commutative Algebra 150 Years With Roger And Sylvia Wiegand written by Nicholas R. Baeth and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-06 with Education categories.
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.
Derived Category Methods In Commutative Algebra
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Author : Lars Winther Christensen
language : en
Publisher: Springer Nature
Release Date : 2024-12-04
Derived Category Methods In Commutative Algebra written by Lars Winther Christensen and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-04 with Mathematics categories.
Derived category methods entered commutative algebra in the latter half of the 1960s, providing, among other things, a framework for a clear formulation of Grothendieck’s Local Duality Theorem. Since then, their impact on the field has steadily grown and continues to expand. This book guides readers familiar with rings and modules through the construction of the associated derived category and its triangulated functors. In this context, it develops theories of categorical equivalences for subcategories and homological invariants of objects. The second half of the book focuses on applications to commutative Noetherian rings. The book can be used as a text for graduate courses, both introductory and advanced, and is intended to serve as a reference for researchers in commutative algebra and related fields. To accommodate readers new to homological algebra, it offers a significantly higher level of detail than most existing texts on the subject.
Commutative Algebra
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Author : Irena Peeva
language : en
Publisher: Springer Nature
Release Date : 2022-02-18
Commutative Algebra written by Irena Peeva and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-18 with Mathematics categories.
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.
Reviews In Ring Theory 1980 84
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Author : Lance W. Small
language : en
Publisher:
Release Date : 1986
Reviews In Ring Theory 1980 84 written by Lance W. Small and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Mathematics categories.
Notices Of The American Mathematical Society
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Author : American Mathematical Society
language : en
Publisher:
Release Date : 1992
Notices Of The American Mathematical Society written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.
Mathematical Reviews
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Author :
language : en
Publisher:
Release Date : 2004
Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
Commutative Ring Theory And Applications
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Author : Marco Fontana
language : en
Publisher: CRC Press
Release Date : 2017-07-27
Commutative Ring Theory And Applications written by Marco Fontana and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-07-27 with Mathematics categories.
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, geome
Commutative Algebra
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Author : Oscar Zariski
language : en
Publisher:
Release Date : 1960
Commutative Algebra written by Oscar Zariski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Mathematics categories.
Commutative Algebra
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Author : Aron Simis
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-08-07
Commutative Algebra written by Aron Simis and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-08-07 with Mathematics categories.
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).
Commutative Algebra
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Author : Oscar Zariski
language : en
Publisher:
Release Date : 1958
Commutative Algebra written by Oscar Zariski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1958 with categories.