ABSTRACT

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. 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.

chapter Chapter 1|1 pages

Elementary results on rings

chapter Chapter 2|1 pages

Matrix algebra over rings

chapter Chapter 3|1 pages

Regular elements in a ring

chapter Chapter 4|1 pages

Regularity - principal ideal rings

chapter Chapter 5|1 pages

Regularity - basics

chapter Chapter 6|1 pages

Regularity - integral domains

chapter Chapter 7|1 pages

Regularity - commutative rings

chapter Chapter 8|39 pages

Special topics