Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Quasi Separable Algebras full books in PDF, epub, and Kindle. Read online Quasi Separable Algebras ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : Bryce Lee Elkins
Publisher :
ISBN 13 :
Total Pages : 166 pages
Book Rating : 4.:/5 (318 download)
Download or read book Quasi-separable Algebras written by Bryce Lee Elkins and published by . This book was released on 1968 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Timothy J. Ford
Publisher : American Mathematical Soc.
ISBN 13 : 1470437708
Total Pages : 664 pages
Book Rating : 4.4/5 (74 download)
Download or read book Separable Algebras written by Timothy J. Ford and published by American Mathematical Soc.. This book was released on 2017-09-26 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive introduction to the theory of separable algebras over commutative rings. After a thorough introduction to the general theory, the fundamental roles played by separable algebras are explored. For example, Azumaya algebras, the henselization of local rings, and Galois theory are rigorously introduced and treated. Interwoven throughout these applications is the important notion of étale algebras. Essential connections are drawn between the theory of separable algebras and Morita theory, the theory of faithfully flat descent, cohomology, derivations, differentials, reflexive lattices, maximal orders, and class groups. The text is accessible to graduate students who have finished a first course in algebra, and it includes necessary foundational material, useful exercises, and many nontrivial examples.
Author : Kōzō Sugano
Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.X/5 (1 download)
Download or read book Separable Extensions of Quasi-Frobenius Rings written by Kōzō Sugano and published by . This book was released on 1975 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Frank De Meyer
Publisher : Springer
ISBN 13 : 3540364846
Total Pages : 162 pages
Book Rating : 4.5/5 (43 download)
Download or read book Separable Algebras over Commutative Rings written by Frank De Meyer and published by Springer. This book was released on 2006-11-15 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lecture notes were prepared by the authors for use in graduate courses and seminars, based on the work of many earlier mathematicians. In addition to very elementary results, presented for the convenience of the reader, Chapter I contains the Morita theorems and the definition of the projective class group of a commutative ring. Chapter II addresses the Brauer group of a commutative ring, and automorphisms of separable algebras. Chapter III surveys the principal theorems of the Galois theory for commutative rings. In Chapter IV the authors present a direct derivation of the first six terms of the seven-term exact sequence for Galois cohomology. In the fifth and final chapter the authors illustrate the preceding material with applications to the structure of central simple algebras and the Brauer group of a Dedekind domain, and they pose problems for further investigation. Exercises are included at the end of each chapter.
Author : Robert Wisbauer
Publisher : CRC Press
ISBN 13 : 9780582289819
Total Pages : 384 pages
Book Rating : 4.2/5 (898 download)
Download or read book Modules and Algebras written by Robert Wisbauer and published by CRC Press. This book was released on 1996-05-15 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Module theory over commutative asociative rings is usually extended to noncommutative associative rings by introducing the category of left (or right) modules. An alternative to this procedure is suggested by considering bimodules. A refined module theory for associative rings is used to investigate the bimodule structure of arbitary algebras and group actions on these algebras.
Author : Frank De Meyer
Publisher :
ISBN 13 : 9783662161937
Total Pages : 172 pages
Book Rating : 4.1/5 (619 download)
Download or read book Separable Algebras Over Commutative Rings written by Frank De Meyer and published by . This book was released on 2014-01-15 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yurj A. Drozd
Publisher : Springer Science & Business Media
ISBN 13 : 3642762441
Total Pages : 260 pages
Book Rating : 4.6/5 (427 download)
Download or read book Finite Dimensional Algebras written by Yurj A. Drozd and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: This English edition has an additional chapter "Elements of Homological Al gebra". Homological methods appear to be effective in many problems in the theory of algebras; we hope their inclusion makes this book more complete and self-contained as a textbook. We have also taken this occasion to correct several inaccuracies and errors in the original Russian edition. We should like to express our gratitude to V. Dlab who has not only metic ulously translated the text, but has also contributed by writing an Appendix devoted to a new important class of algebras, viz. quasi-hereditary algebras. Finally, we are indebted to the publishers, Springer-Verlag, for enabling this book to reach such a wide audience in the world of mathematical community. Kiev, February 1993 Yu.A. Drozd V.V. Kirichenko Preface The theory of finite dimensional algebras is one of the oldest branches of modern algebra. Its origin is linked to the work of Hamilton who discovered the famous algebra of quaternions, and Cayley who developed matrix theory. Later finite dimensional algebras were studied by a large number of mathematicians including B. Peirce, C.S. Peirce, Clifford, ·Weierstrass, Dedekind, Jordan and Frobenius. At the end of the last century T. Molien and E. Cartan described the semisimple algebras over the complex and real fields and paved the first steps towards the study of non-semi simple algebras.
Author : Sven Bodo Wirsing
Publisher : Anchor Academic Publishing
ISBN 13 : 3960677219
Total Pages : 257 pages
Book Rating : 4.9/5 (66 download)
Download or read book Separability within commutative and solvable associative algebras. Under consideration of non-unitary algebras. With 401 exercises written by Sven Bodo Wirsing and published by Anchor Academic Publishing. This book was released on 2018-12-12 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Within the context of the Wedderburn-Malcev theorem a radical complement exists and all complements are conjugated. The main topics of this work are to analyze the Determination of a (all) radical complements, the representation of an element as the sum of a nilpotent and fully separable element and the compatibility of the Wedderburn-Malcev theorem with derived structures. Answers are presented in details for commutative and solvable associative algebras. Within the analysis the set of fully-separable elements and the generalized Jordan decomposition are of special interest. We provide examples based on generalized quaternion algebras, group algebras and algebras of traingular matrices over a field. The results (and also the theorem of Wedderburn-Malcev and Taft) are transferred to non-unitary algebras by using the star-composition and the adjunction of an unit. Within the App endix we present proofs for the Wedderburn-Malcev theorem for unitary algebras, for Taft's theorem on G-invariant radical complements for unitary algebras and for a theorem of Bauer concerning solvable unit groups of associative algebras.
Author : James B. Lipton
Publisher :
ISBN 13 :
Total Pages : 142 pages
Book Rating : 4.E/5 ( download)
Download or read book Separable Algebras and Galois Theory written by James B. Lipton and published by . This book was released on 1979 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gary F. Birkenmeier
Publisher : Springer Science & Business Media
ISBN 13 : 1461201810
Total Pages : 449 pages
Book Rating : 4.4/5 (612 download)
Download or read book International Symposium on Ring Theory written by Gary F. Birkenmeier and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the Proceedings of the Third Korea-China-Japan Inter national Symposium on Ring Theory held jointly with the Second Korea Japan Joint Ring Theory Seminar which took place at the historical resort area of Korea, Kyongju, June 28-July 3, 1999. It also includes articles by some invited mathematicians who were unable to attend the conference. Over 90 mathematicians from 12 countries attended this conference. The conference is held every 4 years on a rotating basis. The first con ference was held in 1991 at Guilin, China. In 1995 the second conference took place in Okayama, Japan. At the second conference it was decided to include Korea, who hosted this conference of 1999. During the past century Ring Theory has diversified into many subar eas. This is reflected in these articles from over 25 well-known mathemati cians covering a broad range of topics, including: Classical Ring Theory, Module Theory, Representation Theory, and the theory of Hopf Algebras. Among these peer reviewed papers are invited survey articles as well as research articles. The survey articles provide an overview of various areas for researchers looking for a new or related field to investigate, while the research articles give the flavor of current research. We feel that the variety of related topics will stimulate interaction between researchers. Moreover the Open Problems section provides guidance for future research. This book should prove attractive to a wide audience of algebraists. Gary F. Birkenmeier, Lafayette, U. S. A.
Author : Gerald J. Janusz
Publisher :
ISBN 13 :
Total Pages : 114 pages
Book Rating : 4.:/5 (276 download)
Download or read book Separable Algebras Over Commutative Rings written by Gerald J. Janusz and published by . This book was released on 1965 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Maria Fragoulopoulou
Publisher : Springer Nature
ISBN 13 : 3030377059
Total Pages : 267 pages
Book Rating : 4.0/5 (33 download)
Download or read book Locally Convex Quasi *-Algebras and their Representations written by Maria Fragoulopoulou and published by Springer Nature. This book was released on 2020-04-07 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a review of the theory of locally convex quasi *-algebras, authored by two of its contributors over the last 25 years. Quasi *-algebras are partial algebraic structures that are motivated by certain applications in Mathematical Physics. They arise in a natural way by completing a *-algebra under a locally convex *-algebra topology, with respect to which the multiplication is separately continuous. Among other things, the book presents an unbounded representation theory of quasi *-algebras, together with an analysis of normed quasi *-algebras, their spectral theory and a study of the structure of locally convex quasi *-algebras. Special attention is given to the case where the locally convex quasi *-algebra is obtained by completing a C*-algebra under a locally convex *-algebra topology, coarser than the C*-topology. Introducing the subject to graduate students and researchers wishing to build on their knowledge of the usual theory of Banach and/or locally convex algebras, this approach is supported by basic results and a wide variety of examples.
Author :
Publisher : Academic Press
ISBN 13 : 0080873693
Total Pages : 469 pages
Book Rating : 4.0/5 (88 download)
Download or read book Differential Algebra & Algebraic Groups written by and published by Academic Press. This book was released on 1973-06-15 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential Algebra & Algebraic Groups
Author : Masamichi Takesaki
Publisher : Springer Science & Business Media
ISBN 13 : 9783540429135
Total Pages : 580 pages
Book Rating : 4.4/5 (291 download)
Download or read book Theory of Operator Algebras III written by Masamichi Takesaki and published by Springer Science & Business Media. This book was released on 2002-11-01 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the reviews: "These three bulky volumes [EMS 124, 125, 127] [...] provide an introduction to this rapidly developing theory. [...] These books can be warmly recommended to every graduate student who wants to become acquainted with this exciting branch of mathematics. Furthermore, they should be on the bookshelf of every researcher of the area." Acta Scientiarum Mathematicarum
Author : Daniel G. Quillen
Publisher : Cambridge University Press
ISBN 13 : 1108859550
Total Pages : 331 pages
Book Rating : 4.1/5 (88 download)
Download or read book Topics in Cyclic Theory written by Daniel G. Quillen and published by Cambridge University Press. This book was released on 2020-07-09 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noncommutative geometry combines themes from algebra, analysis and geometry and has significant applications to physics. This book focuses on cyclic theory, and is based upon the lecture courses by Daniel G. Quillen at the University of Oxford from 1988–92, which developed his own approach to the subject. The basic definitions, examples and exercises provided here allow non-specialists and students with a background in elementary functional analysis, commutative algebra and differential geometry to get to grips with the subject. Quillen's development of cyclic theory emphasizes analogies between commutative and noncommutative theories, in which he reinterpreted classical results of Hamiltonian mechanics, operator algebras and differential graded algebras into a new formalism. In this book, cyclic theory is developed from motivating examples and background towards general results. Themes covered are relevant to current research, including homomorphisms modulo powers of ideals, traces on noncommutative differential forms, quasi-free algebras and Chern characters on connections.
Author : Yurij A. Drozd
Publisher : Berlin : Springer-Verlag
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.3/5 (91 download)
Download or read book Finite Dimensional Algebras written by Yurij A. Drozd and published by Berlin : Springer-Verlag. This book was released on 1994 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of finite dimensional algebras is one of the most fundamental domains of modern algebra, applied in several other parts of mathematics and in theoretical physics. The only prior knowledge assumed of the reader is linear algebra and, in places, a little group theory.
Author : Bruce Blackadar
Publisher : Taylor & Francis
ISBN 13 : 9783540284864
Total Pages : 552 pages
Book Rating : 4.2/5 (848 download)
Download or read book Operator Algebras written by Bruce Blackadar and published by Taylor & Francis. This book was released on 2006 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a comprehensive introduction to the general theory of C*-algebras and von Neumann algebras. Beginning with the basics, the theory is developed through such topics as tensor products, nuclearity and exactness, crossed products, K-theory, and quasidiagonality. The presentation carefully and precisely explains the main features of each part of the theory of operator algebras; most important arguments are at least outlined and many are presented in full detail.
