نظریه جبری نیم‌گروه‌ها. جلد اول

This book, along with Volume I, which appeared previously, presents a survey of the structure and representation theory of semigroups. Volume II goes more deeply than was possible in Volume I into the theories of minimal ideals in a semigroup, inverse semigroups, simple semigroups, congruences on a semigroup, and the embedding of a semigroup in a group. Among the more important recent developments of which an extended treatment is presented are B. M. Sain's theory of the representations of an arbitrary semigroup by partial one-to-one transformations of a set, L. Redei's theory of finitely generated commutative semigroups, J. M. Howie's theory of amalgamated free products of semigroups, and E. J. Tully's theory of representations of a semigroup by transformations of a set. Also a full account is given of Malcev's theory of the congruences on a full transformation semigroup. Presents a survey of the structure and representation theory of semi groups. This book describes the theories of minimal ideals in a semi group, inverse semi groups, simple semi groups, congruences on a semi group, and the embedding of a semigroup in a group.