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Theory of Generalized Inverses over Commutative Rings by K. P. S. Bhaskara Rao (2002, Hardcover)

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Theory of Generalized Inverses over Commutative Rings, Hardcover by Engelbert, Hans Jurgen, ISBN 0415272483, ISBN-13 9780415272483, Brand New, Free shipping in the US Rao (Southwestern College, Kansas) surveys known results about the theory of g-inverses of matrices over rings. Suitable for a graduate course, th introduces regular elements in a ring, characterizes regular matrices over principal ideal rings, and describes regular matrices over commutative rings and, more specifically, integral domains. Annotation (c) Book News, Inc., Portland, OR ()

About this product

Product Identifiers

PublisherCRC Press LLC

ISBN-100415272483

ISBN-139780415272483

eBay Product ID (ePID)2342831

Product Key Features

Number of Pages192 Pages

LanguageEnglish

Publication NameTheory of Generalized Inverses over Commutative Rings

SubjectFunctional Analysis, Matrices, Algebra / General

Publication Year2002

TypeTextbook

Subject AreaMathematics

AuthorK. P. S. Bhaskara Rao

FormatHardcover

Dimensions

Item Height0.6 in

Item Weight14.6 Oz

Item Length9.4 in

Item Width6.3 in

Additional Product Features

Intended AudienceScholarly & Professional

Dewey Edition21

Grade FromCollege Freshman

Dewey Decimal515.7/246

Table Of ContentElementary Results on Rings. Matrix Algebra Over Rings. Regular Elements in a Ring. Regularity - Principal Ideal Rings. Regularity - Basics. Regularity - Integral Domains. Regularity - Commutative Rings. Special Topics.

SynopsisThe 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 elements in a ring, regular matrices over principal ideal rings, and regular matrices over commutative rings. Students, mathematicians working in g-inverses of matrices, along with algebraists, and control theorists will find new and indispensable data, presented with clarity and insight. This book is also well suited to graduate courses on g-inverses in algebra., The subject of generalized inverses of matrices over rings has now reached a state suitable for a comprehensive treatment - this book provides just that, for mathematicians, algebraists and control theorists.