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 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.
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