Finite Commutative Rings and Their Applications

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Release : 2012-12-06
Genre : Technology & Engineering
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Book Rating : 572/5 ( reviews)

Finite Commutative Rings and Their Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Finite Commutative Rings and Their Applications write by Gilberto Bini. This book was released on 2012-12-06. Finite Commutative Rings and Their Applications available in PDF, EPUB and Kindle. Foreword by Dieter Jungnickel Finite Commutative Rings and their Applications answers a need for an introductory reference in finite commutative ring theory as applied to information and communication theory. This book will be of interest to both professional and academic researchers in the fields of communication and coding theory. The book is a concrete and self-contained introduction to finite commutative local rings, focusing in particular on Galois and Quasi-Galois rings. The reader is provided with an active and concrete approach to the study of the purely algebraic structure and properties of finite commutative rings (in particular, Galois rings) as well as to their applications to coding theory. Finite Commutative Rings and their Applications is the first to address both theoretical and practical aspects of finite ring theory. The authors provide a practical approach to finite rings through explanatory examples, thereby avoiding an abstract presentation of the subject. The section on Quasi-Galois rings presents new and unpublished results as well. The authors then introduce some applications of finite rings, in particular Galois rings, to coding theory, using a solid algebraic and geometric theoretical background.

Commutative Ring Theory

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Release : 1989-05-25
Genre : Mathematics
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Book Rating : 646/5 ( reviews)

Commutative Ring Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Commutative Ring Theory write by Hideyuki Matsumura. This book was released on 1989-05-25. Commutative Ring Theory available in PDF, EPUB and Kindle. This book explores commutative ring theory, an important a foundation for algebraic geometry and complex analytical geometry.

Commutative Ring Theory and Applications

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Release : 2017-07-27
Genre : Mathematics
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Book Rating : 627/5 ( reviews)

Commutative Ring Theory and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Commutative Ring Theory and Applications write by Marco Fontana. This book was released on 2017-07-27. Commutative Ring Theory and Applications available in PDF, EPUB and Kindle. 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

Theory of Generalized Inverses Over Commutative Rings

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Release : 2002-03-21
Genre : Mathematics
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Book Rating : 876/5 ( reviews)

Theory of Generalized Inverses Over Commutative Rings - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Theory of Generalized Inverses Over Commutative Rings write by K.P.S. Bhaskara Rao. This book was released on 2002-03-21. Theory of Generalized Inverses Over Commutative Rings available in PDF, EPUB and Kindle. The theory of generalized inverses of real or complex matrices has been expertly developed and documented. But the generalized inverses of matrices over rings have received comprehensive treatment only recently. In this book, the author, who contributed to the research and development of the theory, explains his results. He explores regular element

Non-Noetherian Commutative Ring Theory

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Release : 2000-10-31
Genre : Mathematics
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Book Rating : 924/5 ( reviews)

Non-Noetherian Commutative Ring Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-Noetherian Commutative Ring Theory write by S.T. Chapman. This book was released on 2000-10-31. Non-Noetherian Commutative Ring Theory available in PDF, EPUB and Kindle. This volume consists of twenty-one articles by many of the most prominent researchers in non-Noetherian commutative ring theory. The articles combine in various degrees surveys of past results, recent results that have never before seen print, open problems, and an extensive bibliography. One hundred open problems supplied by the authors have been collected in the volume's concluding chapter. The entire collection provides a comprehensive survey of the development of the field over the last ten years and points to future directions of research in the area. Audience: Researchers and graduate students; the volume is an appropriate source of material for several semester-long graduate-level seminars and courses.