| Topological Rings Satisfying Compactness Conditions 2002 Edition Contributor(s): Ursul, M. (Author) |
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ISBN: 9401039461 ISBN-13: 9789401039468 Publisher: Springer OUR PRICE: $104.49 Product Type: Paperback - Other Formats Published: October 2012 |
| Additional Information |
| BISAC Categories: - Technology & Engineering - Mathematics | Algebra - General - Medical |
| Dewey: 512.2 |
| Series: Mathematics and Its Applications |
| Physical Information: 0.71" H x 6.14" W x 9.21" (1.05 lbs) 327 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |