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Categorical Perspectives

Posted By: AvaxGenius
Date: 1 Feb 2024 05:56:35
Categorical Perspectives

Categorical Perspectives by Jürgen Koslowski, Austin Melton
English | PDF | 2001 | 285 Pages | ISBN : 0817641866 | 23.1 MB

"Categorical Perspectives" consists of introductory surveys as well as articles containing original research and complete proofs devoted mainly to the theoretical and foundational developments of category theory and its applications to other fields. A number of articles in the areas of topology, algebra and computer science reflect the varied interests of George Strecker to whom this work is dedicated. Notable also are an exposition of the contributions and importance of George Strecker's research and a survey chapter on general category theory. This work is an excellent reference text for researchers and graduate students in category theory and related areas.
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Homotopical Topology, Second Edition

Posted By: AvaxGenius
Date: 15 Oct 2023 14:20:40
Homotopical Topology, Second Edition

Homotopical Topology, Second Edition by Anatoly Fomenko , Dmitry Fuchs
English | PDF (True) | 2016 | 635 Pages | ISBN : 3319234870 | 27 MB

This textbook on algebraic topology updates a popular textbook from the golden era of the Moscow school of I. M. Gelfand. The first English translation, done many decades ago, remains very much in demand, although it has been long out-of-print and is difficult to obtain. Therefore, this updated English edition will be much welcomed by the mathematical community. Distinctive features of this book include: a concise but fully rigorous presentation, supplemented by a plethora of illustrations of a high technical and artistic caliber; a huge number of nontrivial examples and computations done in detail; a deeper and broader treatment of topics in comparison to most beginning books on algebraic topology; an extensive, and very concrete, treatment of the machinery of spectral sequences. The second edition contains an entirely new chapter on K-theory and the Riemann-Roch theorem (after Hirzebruch and Grothendieck).
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Approximation Theorems in Commutative Algebra: Classical and Categorical Methods

Posted By: AvaxGenius
Date: 27 Jan 2023 17:40:07
Approximation Theorems in Commutative Algebra: Classical and Categorical Methods

Approximation Theorems in Commutative Algebra: Classical and Categorical Methods by J. Alajbegović , J. Močkoř
English | PDF | 1992 | 339 Pages | ISBN : 0792319486 | 43.3 MB

Various types of approximation theorems are frequently used in general commutative algebra, and they have been found to be useful tools in valuation theory, the theory of Abelian lattice ordered groups, multiplicative ideal theory, etc.
Part 1 of this volume is devoted to the investigation of approximation theorems from a classical point of view. The chapters of this part deal with fields and rings, partly ordered groups, and with multirings and d-groups.
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Classically Semisimple Rings: A Perspective Through Modules and Categories

Posted By: AvaxGenius
Date: 21 Dec 2022 04:59:23
Classically Semisimple Rings: A Perspective Through Modules and Categories

Classically Semisimple Rings: A Perspective Through Modules and Categories by Martin Mathieu
English | PDF,EPUB | 2022 (2023 Edition) | 159 Pages | ISBN : 303114208X | 8.3 MB

Classically Semisimple Rings is a textbook on rings, modules and categories, aimed at advanced undergraduate and beginning graduate students.
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Groups, Rings, Lie and Hopf Algebras

Posted By: AvaxGenius
Date: 23 Nov 2022 15:54:40
Groups, Rings, Lie and Hopf Algebras

Groups, Rings, Lie and Hopf Algebras by Yuri Bahturin
English | PDF | 2003 | 240 Pages | ISBN : 1402012209 | 21 MB

The volume is almost entirely composed of the research and expository papers by the participants of the International Workshop "Groups, Rings, Lie and Hopf Algebras", which was held at the Memorial University of Newfoundland, St. John's, NF, Canada. All four areas from the title of the workshop are covered. In addition, some chapters touch upon the topics, which belong to two or more areas at the same time.
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Research in Computational Topology 2

Posted By: AvaxGenius
Date: 10 Sep 2022 08:00:31
Research in Computational Topology 2

Research in Computational Topology 2 by Ellen Gasparovic, Vanessa Robins, Katharine Turner
English | EPUB | 2022 | 304 Pages | ISBN : 3030955184 | 36.2 MB

This second volume of Research in Computational Topology is a celebration and promotion of research by women in applied and computational topology, containing the proceedings of the second workshop for Women in Computational Topology (WinCompTop) as well as papers solicited from the broader WinCompTop community. The multidisciplinary and international WinCompTop workshop provided an exciting and unique opportunity for women in diverse locations and research specializations to interact extensively and collectively contribute to new and active research directions in the field. The prestigious senior researchers that signed on to head projects at the workshop are global leaders in the discipline, and two of them were authors on some of the first papers in the field.
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Sets, Logic and Categories

Posted By: AvaxGenius
Date: 10 Jul 2022 04:11:44
Sets, Logic and Categories

Sets, Logic and Categories by Peter J. Cameron
English | PDF | 1998 | 191 Pages | ISBN : 1852330562 | 14.8 MB

Set theory, logic and category theory lie at the foundations of mathematics, and have a dramatic effect on the mathematics that we do, through the Axiom of Choice, Gödel's Theorem, and the Skolem Paradox. But they are also rich mathematical theories in their own right, contributing techniques and results to working mathematicians such as the Compactness Theorem and module categories. The book is aimed at those who know some mathematics and want to know more about its building blocks. Set theory is first treated naively an axiomatic treatment is given after the basics of first-order logic have been introduced. The discussion is su pported by a wide range of exercises. The final chapter touches on philosophical issues. The book is supported by a World Wibe Web site containing a variety of supplementary material.
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Towards Higher Categories

Posted By: AvaxGenius
Date: 16 Apr 2022 21:27:02
Towards Higher Categories

Towards Higher Categories by John C. Baez
English | PDF | 2010 | 292 Pages | ISBN : 1441915230 | 4.1 MB

The purpose of this book is to give background for those who would like to delve into some higher category theory. It is not a primer on higher category theory itself. It begins with a paper by John Baez and Michael Shulman which explores informally, by analogy and direct connection, how cohomology and other tools of algebraic topology are seen through the eyes of n-category theory.
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(Mostly) Commutative Algebra

Posted By: AvaxGenius
Date: 13 Apr 2021 15:52:32
(Mostly) Commutative Algebra

(Mostly) Commutative Algebra by Antoine Chambert-Loir
English | PDF | 2021 | 471 Pages | ISBN : 3030615944 | 7.5 MB

This book stems from lectures on commutative algebra for 4th-year university students at two French universities (Paris and Rennes). At that level, students have already followed a basic course in linear algebra and are essentially fluent with the language of vector spaces over fields. The topics introduced include arithmetic of rings, modules, especially principal ideal rings and the classification of modules over such rings, Galois theory, as well as an introduction to more advanced topics such as homological algebra, tensor products, and algebraic concepts involved in algebraic geometry.
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Gorenstein Homological Algebra

Posted By: arundhati
Date: 20 Jun 2020 03:47:04
Gorenstein Homological Algebra

Alina Iacob, "Gorenstein Homological Algebra"
English | ISBN: 1138065498 | 2018 | 232 pages | PDF | 9 MB
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