Ring Theory And Its Applications

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Ring Theory and Its Applications

Dinh Van Huynh, S. K. Jain, Sergio R. López-Permouth,S. Tariq Rizvi,Cosmin S. Roman
Ring Theory and Its Applications Book PDF

Author : Dinh Van Huynh, S. K. Jain, Sergio R. López-Permouth,S. Tariq Rizvi,Cosmin S. Roman
Publisher : American Mathematical Soc.
Page : 330 pages
File Size : 43,8 Mb
Release : 2014-02-21
Category : Mathematics
ISBN : 9780821887974

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Ring Theory and Its Applications by Dinh Van Huynh, S. K. Jain, Sergio R. López-Permouth,S. Tariq Rizvi,Cosmin S. Roman Pdf

This volume contains the proceedings of the Ring Theory Session in honor of T. Y. Lam's 70th birthday, at the 31st Ohio State-Denison Mathematics Conference, held from May 25-27, 2012, at The Ohio State University, Columbus, Ohio. Included are expository articles and research papers covering topics such as cyclically presented modules, Eggert's conjecture, the Mittag-Leffler conditions, clean rings, McCoy rings, QF rings, projective and injective modules, Baer modules, and Leavitt path algebras. Graduate students and researchers in many areas of algebra will find this volume valuable as the papers point out many directions for future work; in particular, several articles contain explicit lists of open questions.

Near-rings: The Theory and its Applications

Anonim
Near rings The Theory and its Applications Book PDF

Author : Anonim
Publisher : Elsevier
Page : 469 pages
File Size : 52,6 Mb
Release : 2011-10-10
Category : Mathematics
ISBN : 0080871348

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Near-rings: The Theory and its Applications by Anonim Pdf

Near-rings: The Theory and its Applications

Dimensions of Ring Theory

C. Nastasescu,Freddy Van Oystaeyen
Dimensions of Ring Theory Book PDF

Author : C. Nastasescu,Freddy Van Oystaeyen
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 53,8 Mb
Release : 1987-04-30
Category : Mathematics
ISBN : 902772461X

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Dimensions of Ring Theory by C. Nastasescu,Freddy Van Oystaeyen Pdf

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Gad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of s9phistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

Advances in Ring Theory

Sergio R. López-Permouth,Dinh Van Huynh
Advances in Ring Theory Book PDF

Author : Sergio R. López-Permouth,Dinh Van Huynh
Publisher : Springer Science & Business Media
Page : 345 pages
File Size : 48,7 Mb
Release : 2011-01-28
Category : Mathematics
ISBN : 9783034602860

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Advances in Ring Theory by Sergio R. López-Permouth,Dinh Van Huynh Pdf

This volume consists of refereed research and expository articles by both plenary and other speakers at the International Conference on Algebra and Applications held at Ohio University in June 2008, to honor S.K. Jain on his 70th birthday. The articles are on a wide variety of areas in classical ring theory and module theory, such as rings satisfying polynomial identities, rings of quotients, group rings, homological algebra, injectivity and its generalizations, etc. Included are also applications of ring theory to problems in coding theory and in linear algebra.

Exercises in Classical Ring Theory

T.Y. Lam
Exercises in Classical Ring Theory Book PDF

Author : T.Y. Lam
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 43,9 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781475739879

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Exercises in Classical Ring Theory by T.Y. Lam Pdf

Based in large part on the comprehensive "First Course in Ring Theory" by the same author, this book provides a comprehensive set of problems and solutions in ring theory that will serve not only as a teaching aid to instructors using that book, but also for students, who will see how ring theory theorems are applied to solving ring-theoretic problems and how good proofs are written. The author demonstrates that problem-solving is a lively process: in "Comments" following many solutions he discusses what happens if a hypothesis is removed, whether the exercise can be further generalized, what would be a concrete example for the exercise, and so forth. The book is thus much more than a solution manual.

Commutative Ring Theory and Applications

Marco Fontana
Commutative Ring Theory and Applications Book PDF

Author : Marco Fontana
Publisher : CRC Press
Page : 524 pages
File Size : 44,5 Mb
Release : 2017-07-27
Category : Mathematics
ISBN : 0203910621

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Commutative Ring Theory and Applications by Marco Fontana Pdf

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

Semirings and their Applications

Jonathan S. Golan
Semirings and their Applications Book PDF

Author : Jonathan S. Golan
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 51,9 Mb
Release : 2013-04-18
Category : Mathematics
ISBN : 9789401593335

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Semirings and their Applications by Jonathan S. Golan Pdf

There is no branch of mathematics, however abstract, which may not some day be applied to phenomena of the real world. - Nikolai Ivanovich Lobatchevsky This book is an extensively-revised and expanded version of "The Theory of Semirings, with Applicationsin Mathematics and Theoretical Computer Science" [Golan, 1992], first published by Longman. When that book went out of print, it became clear - in light of the significant advances in semiring theory over the past years and its new important applications in such areas as idempotent analysis and the theory of discrete-event dynamical systems - that a second edition incorporating minor changes would not be sufficient and that a major revision of the book was in order. Therefore, though the structure of the first «dition was preserved, the text was extensively rewritten and substantially expanded. In particular, references to many interesting and applications of semiring theory, developed in the past few years, had to be added. Unfortunately, I find that it is best not to go into these applications in detail, for that would entail long digressions into various domains of pure and applied mathematics which would only detract from the unity of the volume and increase its length considerably. However, I have tried to provide an extensive collection of examples to arouse the reader's interest in applications, as well as sufficient citations to allow the interested reader to locate them. For the reader's convenience, an index to these citations is given at the end of the book .

Number Theory and Its Applications

Fuhuo Li,Nianliang Wang,Shigeru Kanemitsu
Number Theory and Its Applications Book PDF

Author : Fuhuo Li,Nianliang Wang,Shigeru Kanemitsu
Publisher : World Scientific Publishing Company
Page : 208 pages
File Size : 41,7 Mb
Release : 2012-11-28
Category : Mathematics
ISBN : 9789814425650

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Number Theory and Its Applications by Fuhuo Li,Nianliang Wang,Shigeru Kanemitsu Pdf

This book emphasizes the role of symmetry and presents as many viewpoints as possible of an important phenomenon — the functional equation of the associated zeta-function. It starts from the basics before warping into the space of new interest; from the ground state to the excited state. For example, the Euler function is treated in several different places, as the number of generators of a finite cyclic group, as one counting the order of the multiplicative group of reduced residue classes modulo q, and as the order and degree of the Galois group of the cyclotomic field, respectively. One of the important principles of learning is to work with the material many times. This book presents many worked-out examples and exercises to enhance the reader's comprehension on the topics covered in an in-depth manner. This is done in a different setting each time such that the reader will always be challenged. For the keen reader, even browsing the text alone, without solving the exercises, will yield some knowledge and enjoyment.

Commutative Ring Theory

Hideyuki Matsumura
Commutative Ring Theory Book PDF

Author : Hideyuki Matsumura
Publisher : Cambridge University Press
Page : 338 pages
File Size : 48,6 Mb
Release : 1989-05-25
Category : Mathematics
ISBN : 0521367646

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Commutative Ring Theory by Hideyuki Matsumura Pdf

This book explores commutative ring theory, an important a foundation for algebraic geometry and complex analytical geometry.

Valuation Theory and Its Applications

Franz-Viktor Kuhlmann,Salma Kuhlmann,Murray Marshall
Valuation Theory and Its Applications Book PDF

Author : Franz-Viktor Kuhlmann,Salma Kuhlmann,Murray Marshall
Publisher : American Mathematical Soc.
Page : 470 pages
File Size : 46,8 Mb
Release : 2002-01-01
Category : Mathematics
ISBN : 0821871390

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Valuation Theory and Its Applications by Franz-Viktor Kuhlmann,Salma Kuhlmann,Murray Marshall Pdf

This book is the first of two proceedings volumes stemming from the International Conference and Workshop on Valuation Theory held at the University of Saskatchewan (Saskatoon, SK, Canada). Valuation theory arose in the early part of the twentieth century in connection with number theory and has many important applications to geometry and analysis: the classical application to the study of algebraic curves and to Dedekind and Prufer domains; the close connection to the famousresolution of the singularities problem; the study of the absolute Galois group of a field; the connection between ordering, valuations, and quadratic forms over a formally real field; the application to real algebraic geometry; the study of noncommutative rings; etc. The special feature of this book isits focus on current applications of valuation theory to this broad range of topics. Also included is a paper on the history of valuation theory. The book is suitable for graduate students and research mathematicians working in algebra, algebraic geometry, number theory, and mathematical logic.

Number Theory and Its Applications

Cem Y. Yildrim,Serguei A. Stepanov
Number Theory and Its Applications Book PDF

Author : Cem Y. Yildrim,Serguei A. Stepanov
Publisher : CRC Press
Page : 368 pages
File Size : 50,5 Mb
Release : 2020-03-06
Category : Mathematics
ISBN : 9781000673135

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Number Theory and Its Applications by Cem Y. Yildrim,Serguei A. Stepanov Pdf

This valuable reference addresses the methods leading to contemporary developments in number theory and coding theory, originally presented as lectures at a summer school held at Bilkent University, Ankara, Turkey.

Neutrosophic Theory and Its Applications, Vol. I

Florentin Smarandache
Neutrosophic Theory and Its Applications Vol I Book PDF

Author : Florentin Smarandache
Publisher : Infinite Study
Page : 482 pages
File Size : 40,9 Mb
Release : 2014-12-01
Category : Fuzzy logic
ISBN : 9781599733203

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Neutrosophic Theory and Its Applications, Vol. I by Florentin Smarandache Pdf

This volume contains 45 papers, written by the author alone or in collaboration with the following co-authors: Mumtaz Ali, Said Broumi, Sukanto Bhattacharya, Mamoni Dhar, Irfan Deli, Mincong Deng, Alexandru Gal, Valeri Kroumov, Pabitra Kumar Maji, Maikel Leyva-Vazquez, Feng Liu, Pinaki Majumdar, Munazza Naz, Karina Perez-Teruel, Rıdvan Sahin, A. A. Salama, Muhammad Shabir, Rajshekhar Sunderraman, Luige Vladareanu, Magdalena Vladila, Stefan Vladutescu, Haibin Wang, Hongnian Yu, Yan-Qing Zhang.

Abstract Algebra

Thomas Judson
Abstract Algebra Book PDF

Author : Thomas Judson
Publisher : Orthogonal Publishing L3c
Page : 0 pages
File Size : 47,5 Mb
Release : 2023-08-11
Category : Electronic
ISBN : 1944325190

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Abstract Algebra by Thomas Judson Pdf

Abstract Algebra: Theory and Applications is an open-source textbook that is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many non-trivial applications. The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.

Introduction to Modern Algebra and Its Applications

Nadiya Gubareni
Introduction to Modern Algebra and Its Applications Book PDF

Author : Nadiya Gubareni
Publisher : CRC Press
Page : 363 pages
File Size : 44,7 Mb
Release : 2021-06-23
Category : Mathematics
ISBN : 9781000209532

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Introduction to Modern Algebra and Its Applications by Nadiya Gubareni Pdf

The book provides an introduction to modern abstract algebra and its applications. It covers all major topics of classical theory of numbers, groups, rings, fields and finite dimensional algebras. The book also provides interesting and important modern applications in such subjects as Cryptography, Coding Theory, Computer Science and Physics. In particular, it considers algorithm RSA, secret sharing algorithms, Diffie-Hellman Scheme and ElGamal cryptosystem based on discrete logarithm problem. It also presents Buchberger’s algorithm which is one of the important algorithms for constructing Gröbner basis. Key Features: Covers all major topics of classical theory of modern abstract algebra such as groups, rings and fields and their applications. In addition it provides the introduction to the number theory, theory of finite fields, finite dimensional algebras and their applications. Provides interesting and important modern applications in such subjects as Cryptography, Coding Theory, Computer Science and Physics. Presents numerous examples illustrating the theory and applications. It is also filled with a number of exercises of various difficulty. Describes in detail the construction of the Cayley-Dickson construction for finite dimensional algebras, in particular, algebras of quaternions and octonions and gives their applications in the number theory and computer graphics.

Model Theory : An Introduction

David Marker
Model Theory An Introduction Book PDF

Author : David Marker
Publisher : Springer Science & Business Media
Page : 345 pages
File Size : 47,5 Mb
Release : 2006-04-06
Category : Mathematics
ISBN : 9780387227344

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Model Theory : An Introduction by David Marker Pdf

Assumes only a familiarity with algebra at the beginning graduate level; Stresses applications to algebra; Illustrates several of the ways Model Theory can be a useful tool in analyzing classical mathematical structures