The Algebraic Theory of Semigroups, Volume 2.

This book, along with volume I, which appeared previously, presents a survey of the structure and representation theory of semi groups.

Volume II goes more deeply than was possible in volume I into 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 semi group 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 semi group by partial one-to-one transformations of a set, L.

Redei's theory of finitely generated commutative semi groups, J.

M. Howie's theory of amalgamated free products of semi groups, and E.

J. Tully's theory of representations of a semi group by transformations of a set.

Also a full account is given of Malcev's theory of the congruences on a full transformation semi group.