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.
General
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