Bücher der Reihe Series In Algebra

An introduction to generalized inverses and decompositions. It presents the three basic partial orders - namely, the minus, the sharp and the star - and the corresponding one-sided orders using various generalized inverses. It gives a unified theory of these partial orders.

A discussion of the structure of linear semigroups, that is, subsemigroups of the multiplicative semigroup Mn(K) of n x n matrices over a field K (or, more generally, skew linear semigroups) and its applications to problems on associative algebras, semigroups and linear representations.

A monograph is concerned with exchange rings in various conditions related to stable range. It discusses diagonal reduction of regular matrices and cleanness of square matrices. It includes topics such as: cancellation of modules, comparability of modules, cleanness, monoid theory, matrix theory, K-theory, topology, amongst others.