Coprime Modules And Comodules

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Coprime Modules And Comodules

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Author : Indah Emilia Wijayanti
language : en
Publisher:
Release Date : 2005

Coprime Modules And Comodules written by Indah Emilia Wijayanti and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with categories.

Handbook Of Algebra

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Author : M. Hazewinkel
language : en
Publisher: Elsevier
Release Date : 2009-07-08

Handbook Of Algebra written by M. Hazewinkel and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-07-08 with Mathematics categories.

Algebra, as we know it today, consists of many different ideas, concepts and results. A reasonable estimate of the number of these different items would be somewhere between 50,000 and 200,000. Many of these have been named and many more could (and perhaps should) have a name or a convenient designation. Even the nonspecialist is likely to encounter most of these, either somewhere in the literature, disguised as a definition or a theorem or to hear about them and feel the need for more information. If this happens, one should be able to find enough information in this Handbook to judge if it is worthwhile to pursue the quest. In addition to the primary information given in the Handbook, there are references to relevant articles, books or lecture notes to help the reader. An excellent index has been included which is extensive and not limited to definitions, theorems etc. The Handbook of Algebra will publish articles as they are received and thus the reader will find in this third volume articles from twelve different sections. The advantages of this scheme are two-fold: accepted articles will be published quickly and the outline of the Handbook can be allowed to evolve as the various volumes are published. A particularly important function of the Handbook is to provide professional mathematicians working in an area other than their own with sufficient information on the topic in question if and when it is needed.- Thorough and practical source of information - Provides in-depth coverage of new topics in algebra - Includes references to relevant articles, books and lecture notes

Teori Ring Dan Modul

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Author : Sri Wahyuni
language : id
Publisher: UGM PRESS
Release Date : 2021-01-27

Teori Ring Dan Modul written by Sri Wahyuni and has been published by UGM PRESS this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-27 with Mathematics categories.

Sebagai salah satu cabang matematika, struktur aljabar memainkan peran yang sangat penting, khususnya dalam pengembangan konsep abstraksi dan generalisasi yang merupakan bagian yang sangat penting untuk penelitian aljabar lanjut. Ring sebagai struktur aljabar yang melibatkan satu himpunan dan dua operasi merupakan abstraksi dari sifat-sifat sistem bilangan bulat beserta operasi penjumlahan dan pergandaan bilangan-bilangan telah menjadi alat pengembangan konsep keprimaan, ketaktereduksian, invertibilitas, dan konsep hasil bagi serta sisa pembagian, khususnya pada ring suku banyak. Teori ring memiliki aplikasi dalam teori bilangan, khususnya terkait dengan sifat-sifat ideal yang berperan pada terbentuknya teori Dedekind dan teori representasi. Sementara itu, modul atas ring sebagai konsep generalisasi dari ruang vektor atas lapangan yang telah dikenal dalam aljabar linear menjadi alat yang sangat penting dalam pengembangan teori sistem. Studi tentang modul atas ring ternyata akan berkontribusi cukup signifikan dalam pemahaman teori ring itu sendiri. Hal ini mengingat bahwa ring dapat dipandang sebagai modul atas dirinya sendiri. Dalam buku ini pembaca akan mempelajari ring dan modul yang mengarah ke teorema fundamental dan beberapa aplikasinya. Selain itu, pembaca juga akan mempelajari beberapa struktur khusus pada ring, yakni ring prima, ring semiprima, ring sederhana, dan ring semisederhana. Dari berbagai jenis ring tersebut, selanjutnya akan dikembangkan pada teori modul, yakni submodul prima, submodul semiprima, modul sederhana, dan modul semisederhana. Buku ini dibuat dengan menggunakan pendekatan pembelajaran berbasis riset.

Deutsche Nationalbibliographie Und Bibliographie Der Im Ausland Erschienenen Deutschsprachigen Ver Ffentlichungen

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Author :
language : de
Publisher:
Release Date : 2007

Deutsche Nationalbibliographie Und Bibliographie Der Im Ausland Erschienenen Deutschsprachigen Ver Ffentlichungen written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Dissertations, Academic categories.

Algebras Rings And Their Representations

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Author : Alberto Facchini
language : en
Publisher: World Scientific
Release Date : 2006

Algebras Rings And Their Representations written by Alberto Facchini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Technology & Engineering categories.

Surveying the most influential developments in the field, this proceedings reviews the latest research on algebras and their representations, commutative and non-commutative rings, modules, conformal algebras, and torsion theories.The volume collects stimulating discussions from world-renowned names including Tsit-Yuen Lam, Larry Levy, Barbara Osofsky, and Patrick Smith.

Tensor Categories

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Author : Pavel Etingof
language : en
Publisher: American Mathematical Soc.
Release Date : 2016-08-05

Tensor Categories written by Pavel Etingof 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 2016-08-05 with Mathematics categories.

Is there a vector space whose dimension is the golden ratio? Of course not—the golden ratio is not an integer! But this can happen for generalizations of vector spaces—objects of a tensor category. The theory of tensor categories is a relatively new field of mathematics that generalizes the theory of group representations. It has deep connections with many other fields, including representation theory, Hopf algebras, operator algebras, low-dimensional topology (in particular, knot theory), homotopy theory, quantum mechanics and field theory, quantum computation, theory of motives, etc. This book gives a systematic introduction to this theory and a review of its applications. While giving a detailed overview of general tensor categories, it focuses especially on the theory of finite tensor categories and fusion categories (in particular, braided and modular ones), and discusses the main results about them with proofs. In particular, it shows how the main properties of finite-dimensional Hopf algebras may be derived from the theory of tensor categories. Many important results are presented as a sequence of exercises, which makes the book valuable for students and suitable for graduate courses. Many applications, connections to other areas, additional results, and references are discussed at the end of each chapter.

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 2008

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 2008 with Mathematics categories.

Hopf Algebras Quantum Groups And Yang Baxter Equations

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Author : Florin Felix Nichita
language : en
Publisher: MDPI
Release Date : 2019-01-31

Hopf Algebras Quantum Groups And Yang Baxter Equations written by Florin Felix Nichita and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-31 with Mathematics categories.

This book is a printed edition of the Special Issue "Hopf Algebras, Quantum Groups and Yang-Baxter Equations" that was published in Axioms

Modules And Comodules

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Author : Tomasz Brzezinski
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-06-26

Modules And Comodules written by Tomasz Brzezinski and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-26 with Mathematics categories.

The 23 articles in this volume encompass the proceedings of the International Conference on Modules and Comodules held in Porto (Portugal) in 2006 and dedicated to Robert Wisbauer on the occasion of his 65th birthday. These articles reflect Professor Wisbauer's wide interests and give an overview of different fields related to module theory, some of which have a long tradition whereas others have emerged in recent years. They include topics in the formal theory of modules bordering on category theory, in ring theory, in Hopf algebras and quantum groups, and in corings and comodules.

Current Technical Papers

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Author :
language : en
Publisher:
Release Date : 1969

Current Technical Papers written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Science categories.