Algebras, Rings and Modules PDF Download

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ISBN:
Category : Sales
Languages : en
Pages : 772

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Author: Michiel Hazewinkel
Publisher: CRC Press
ISBN: 1482245051
Category : Mathematics
Languages : en
Pages : 384

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Book Description
The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth centu

Author: A.A. Tuganbaev
Publisher: Springer Science & Business Media
ISBN: 9401598789
Category : Mathematics
Languages : en
Pages : 363

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Preface All rings are assumed to be associative and (except for nilrings and some stipulated cases) to have nonzero identity elements. A ring A is said to be regular if for every element a E A, there exists an element b E A with a = aba. Regular rings are well studied. For example, [163] and [350] are devoted to regular rings. A ring A is said to be tr-regular if for every element a E A, there is an element n b E A such that an = anba for some positive integer n. A ring A is said to be strongly tr-regular if for every a E A, there is a positive integer n with n 1 n an E a + An Aa +1. It is proved in [128] that A is a strongly tr-regular ring if and only if for every element a E A, there is a positive integer m with m 1 am E a + A. Every strongly tr-regular ring is tr-regular [38]. If F is a division ring and M is a right vector F-space with infinite basis {ei}~l' then End(MF) is a regular (and tr-regular) ring that is not strongly tr-regular. The factor ring of the ring of integers with respect to the ideal generated by the integer 4 is a strongly tr-regular ring that is not regular.

Author: Martin Mathieu
Publisher: Springer Nature
ISBN: 3031142098
Category : Mathematics
Languages : en
Pages : 159

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Classically Semisimple Rings is a textbook on rings, modules and categories, aimed at advanced undergraduate and beginning graduate students. The book presents the classical theory of semisimple rings from a modern, category-theoretic point of view. Examples from algebra are used to motivate the abstract language of category theory, which then provides a framework for the study of rings and modules, culminating in the Wedderburn–Artin classification of semisimple rings. In the last part of the book, readers are gently introduced to related topics such as tensor products, exchange modules and C*-algebras. As a final flourish, Rickart’s theorem on group rings ties a number of these topics together. Each chapter ends with a selection of exercises of varying difficulty, and readers interested in the history of mathematics will find biographical sketches of important figures scattered throughout the text. Assuming previous knowledge in linear and basic abstract algebra, this book can serve as a textbook for a course in algebra, providing students with valuable early exposure to category theory.

Author: Viet Dung Nguyen
Publisher: American Mathematical Soc.
ISBN: 0821843702
Category : Mathematics
Languages : en
Pages : 377

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Book Description
The papers in this volume contain results in active research areas in the theory of rings and modules, including non commutative and commutative ring theory, module theory, representation theory, and coding theory.

Author: Church of England
Publisher: Canterbury Press
ISBN: 0715122339
Category : Religion
Languages : en
Pages : 425

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Offers liturgical material for the journey of each individual through life. For each key element of this journey (birth, marriage, healing, death), it provides both material for key ‘public’ events and resources for ‘private’ pastoral care.

Author: James Dashner
Publisher: Scholastic Inc.
ISBN: 0545473942
Category : Juvenile Fiction
Languages : en
Pages : 225

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Scholastic's next multi-platform mega-event begins here!History is broken, and three kids must travel back in time to set it right!When best friends Dak Smyth and Sera Froste stumble upon the secret of time travel -- a hand-held device known as the Infinity Ring -- they're swept up in a centuries-long secret war for the fate of mankind. Recruited by the Hystorians, a secret society that dates back to Aristotle, the kids learn that history has gone disastrously off course.Now it's up to Dak, Sera, and teenage Hystorian-in-training Riq to travel back in time to fix the Great Breaks . . . and to save Dak's missing parents while they're at it. First stop: Spain, 1492, where a sailor named Christopher Columbus is about to be thrown overboard in a deadly mutiny!

Author: André Leroy
Publisher: American Mathematical Soc.
ISBN: 1470441047
Category : Modules (Algebra)
Languages : en
Pages : 355

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Book Description
This book contains the proceedings of the Fifth International Conference on Noncommutative Rings and their Applications, held from June 12–15, 2017, at the University of Artois, Lens, France. The papers are related to noncommutative rings, covering topics such as: ring theory, with both the elementwise and more structural approaches developed; module theory with popular topics such as automorphism invariance, almost injectivity, ADS, and extending modules; and coding theory, both the theoretical aspects such as the extension theorem and the more applied ones such as Construction A or Reed–Muller codes. Classical topics like enveloping skewfields, weak Hopf algebras, and tropical algebras are also presented.

Author: Steven Dougherty
Publisher: American Mathematical Soc.
ISBN: 147041032X
Category : Mathematics
Languages : en
Pages : 280

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Book Description
Contains the Proceedings of an International Conference on Noncommutative Rings and Their Applications, held July 1-4, 2013, at the Universite d'Artois, Lens, France. It presents recent developments in the theories of noncommutative rings and modules over such rings as well as applications of these to coding theory, enveloping algebras, and Leavitt path algebras.

Author: Meg Keene
Publisher: Hachette UK
ISBN: 0738246735
Category : Reference
Languages : en
Pages : 256

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Book Description
A companion to the popular website APracticalWedding.com and A Practical Wedding Planner, A Practical Wedding helps you sort through the basics to create the wedding you want -- without going broke or crazy in the process. After all, what really matters on your wedding day is not so much how it looked as how it felt. In this refreshing guide, expert Meg Keene shares her secrets to planning a beautiful celebration that reflects your taste and your relationship. You'll discover: The real purpose of engagement (hint: it's not just about the planning) How to pinpoint what matters most to you and your partner DIY-ing your wedding: brilliant or crazy? How to communicate decisions to your family Why that color-coded spreadsheet is actually worth it Wedding Zen can be yours. Meg walks you through everything from choosing a venue to writing vows, complete with stories and advice from women who have been in the trenches: the Team Practical brides. So here's to the joyful wedding, the sensible wedding, the unbelievably fun wedding! A Practical Wedding is your complete guide to getting married with grace.