Download or read book Topological Rings Satisfying Compactness Conditions written by M. Ursul and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction In the last few years a few monographs dedicated to the theory of topolog ical rings have appeared [Warn27], [Warn26], [Wies 19], [Wies 20], [ArnGM]. Ring theory can be viewed as a particular case of Z-algebras. Many general results true for rings can be extended to algebras over commutative rings. In topological algebra the structure theory for two classes of topological algebras is well developed: Banach algebras; and locally compact rings. The theory of Banach algebras uses results of Banach spaces, and the theory of locally compact rings uses the theory of LCA groups. As far as the author knows, the first papers on the theory of locally compact rings were [Pontr1]' [J1], [J2], [JT], [An], lOt], [K1]' [K2]' [K3], [K4], [K5], [K6]. Later two papers, [GS1,GS2]appeared, which contain many results concerning locally compact rings. This book can be used in two w.ays. It contains all necessary elementary results from the theory of topological groups and rings. In order to read these parts of the book the reader needs to know only elementary facts from the theories of groups, rings, modules, topology. The book consists of two parts.

Download or read book Equational Compactness in Rings written by D. K. Haley and published by Springer. This book was released on 2006-11-15 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Advances in Ring Theory written by Sergio R. López-Permouth and published by Springer Science & Business Media. This book was released on 2011-01-28 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book Topological Rings written by S. Warner and published by Elsevier. This book was released on 1993-07-07 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text brings the reader to the frontiers of current research in topological rings. The exercises illustrate many results and theorems while a comprehensive bibliography is also included.The book is aimed at those readers acquainted with some very basic point-set topology and algebra, as normally presented in semester courses at the beginning graduate level or even at the advanced undergraduate level. Familiarity with Hausdorff, metric, compact and locally compact spaces and basic properties of continuous functions, also with groups, rings, fields, vector spaces and modules, and with Zorn's Lemma, is also expected.

Download or read book Groups Rings and Algebras written by Donald S. Passman and published by American Mathematical Soc.. This book was released on 2006 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a companion volume to the conference in honor of Donald S. Passman held in Madison, Wisconsin in June 2005. It contains research papers on Algebras, Group Rings, Hopf Algebras, Invariant Theory, Lie Algebras and their Enveloping Algebras, Noncommutative Algebraic Geometry, Noncommutative Rings, and other topics. The papers represent an important part of the latest research in these areas.

Download or read book Compactness Conditions in Structure Theory of Topological Groups written by Siegfried Karl Grosser and published by . This book was released on 1965 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Compactness Conditions and Duals of Topological Groups written by John Robie Liukkonen and published by . This book was released on 1970 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Compactness Conditions for Functions on Topological Groups written by Justin Randolph Peters and published by . This book was released on 1972 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Linear Topologies on a Ring written by Jonathan S. Golan and published by Longman. This book was released on 1987 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Izvestii a Akademii nauk Respubliki Moldova written by and published by . This book was released on 2004 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Introduction to Topological Groups written by Taqdir Husain and published by Courier Dover Publications. This book was released on 2018-02-15 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise treatment covers semitopological groups, locally compact groups, Harr measure, and duality theory and some of its applications. The volume concludes with a chapter that introduces Banach algebras. 1966 edition.

Download or read book Equational Compactness in Rings written by D. K. Haley and published by Lecture Notes in Mathematics. This book was released on 1979-10 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Equational compactness in rings written by David K. Haley and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Topology written by K. Kuratowski and published by Elsevier. This book was released on 2014-05-12 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology, Volume II deals with topology and covers topics ranging from compact spaces and connected spaces to locally connected spaces, retracts, and neighborhood retracts. Group theory and some cutting problems are also discussed, along with the topology of the plane. Comprised of seven chapters, this volume begins with a discussion on the compactness of a topological space, paying particular attention to Borel, Lebesgue, Riesz, Cantor, and Bolzano-Weierstrass conditions. Semi-continuity and topics in dimension theory are also considered. The reader is then introduced to the connectedness of a space, with emphasis on the general properties and monotone mappings of connected spaces; local connectedness of a topological space; absolute retracts and contractible spaces; and general properties of commutative groups. Qualitative problems related to polygonal arcs are also examined, together with cohomotopic multiplication and duality theorems. The final chapter is devoted to the topology of a plane and evaluates the concept of the Janiszewski space. This monograph will be helpful to students and practitioners of algebra and mathematics.

Download or read book Topology written by George McCarty and published by Courier Dover Publications. This book was released on 1988 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covers sets and functions, groups, metric spaces, topologies, topological groups, compactness and connectedness, function spaces, the fundamental group, the fundamental group of the circle, locally isomorphic groups, more. 1967 edition.

Download or read book Pacific Journal of Mathematics written by and published by . This book was released on 1979 with total page 1212 pages. Available in PDF, EPUB and Kindle. Book excerpt: