Author: Arthur Steger
Publisher:
ISBN:
Category : Matrices
Languages : en
Pages : 140

View

Book Description

Author: K.P.S. Bhaskara Rao
Publisher: CRC Press
ISBN: 0203218876
Category : Mathematics
Languages : en
Pages : 192

View

Book Description
The 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 element

Author: William Brown
Publisher: CRC Press
ISBN: 9780824787554
Category : Mathematics
Languages : en
Pages : 296

View

Book Description
Aims to cover the most important aspects of the theory of matrices whose entries come from a given commutative ring. Essential facts about commutative rings are developed throughout the book, and proofs that follow from concrete matrix calculations are also provided.

Author: Bernard R. McDonald
Publisher: CRC Press
ISBN: 1000146464
Category : Mathematics
Languages : en
Pages : 563

View

Book Description
This monograph arose from lectures at the University of Oklahoma on topics related to linear algebra over commutative rings. It provides an introduction of matrix theory over commutative rings. The monograph discusses the structure theory of a projective module.

Author: Ioannis Emmanouil
Publisher: Springer Science & Business Media
ISBN: 3540279911
Category : Mathematics
Languages : en
Pages : 288

View

Book Description
The theory of idempotent matrices with entries in complex group algebras has recently experienced a revival, in view of its close relationship with deep geometric problems and conjectures. The relevant questions studied in this book for general groups are motivated by specific examples. A variety of techniques is employed from commutative algebra, homological algebra and functional analysis.The book can serve as an introduction to this lively research area. The pace is suitable for independent study and the level of the presentation not very demanding. The exercises at the end of each chapter form an essential part of the book.

Author: Huanyin Chen
Publisher: World Scientific
ISBN: 9811260141
Category : Mathematics
Languages : en
Pages : 693

View

Book Description
This is the first monograph devoted to clean ring and matrix theory. It aims to study a theory of expressing an element in a ring as the sum of some special ones, such as idempotents, units, nilpotents, tripotents, involutions, etc. A matrix over such rings is thereby expressed as the sum of some special matrices. Also another topics on the behaviors of topological properties and *-properties of such rings are investigated.The book is based on the results of various published papers, particularly, by the authors'. It is accessible for students familiar with general abstract algebra, while the topics are interesting for researchers in the field of ring, matrix and operator theory.

Author: Bernard R. McDonald
Publisher: CRC Press
ISBN: 1000110613
Category : Mathematics
Languages : en
Pages : 561

View

Book Description
This monograph arose from lectures at the University of Oklahoma on topics related to linear algebra over commutative rings. It provides an introduction of matrix theory over commutative rings. The monograph discusses the structure theory of a projective module.

Author: Piotr Krylov
Publisher: Springer
ISBN: 3319539078
Category : Mathematics
Languages : en
Pages : 165

View

Book Description
This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the interplay between Morita contexts and K theory. While various special types of formal matrix rings have been studied for a long time from several points of view and appear in various textbooks, for instance to examine equivalences of module categories and to illustrate rings with one-sided non-symmetric properties, this particular class of rings has, so far, not been treated systematically. Exploring formal matrix rings of order 2 and introducing the notion of the determinant of a formal matrix over a commutative ring, this monograph further covers the Grothendieck and Whitehead groups of rings. Graduate students and researchers interested in ring theory, module theory and operator algebras will find this book particularly valuable. Containing numerous examples, Formal Matrices is a largely self-contained and accessible introduction to the topic, assuming a solid understanding of basic algebra.

Author: James W. Brewer
Publisher: CRC Press
ISBN: 9780824775599
Category : Mathematics
Languages : en
Pages : 220

View

Book Description

Author: T.Y. Lam
Publisher: Springer Science & Business Media
ISBN: 3540345752
Category : Mathematics
Languages : en
Pages : 412

View

Book Description
An invaluable summary of research work done in the period from 1978 to the present