This volume contains papers selected by leading specialists in algebraic semigroups in the U.S., the United Kingdom, and Australia. Many of the papers strongly influenced the development of algebraic semigroups, but most were virtually unavailable outside the U.S.S.R. Written by some of the most prominent Soviet researchers in the field, the papers have a particular emphasis on semigroups of transformations. Boris Schein of the University of Arkansas is the translator.
Homomorphisms of semigroups of endomorphisms of ordered sets by A. Ya. Aizenshtat On ideals of semigroups of endomorphisms by A. Ya. Aizenshtat Subgroups of semigroups of endomorphisms of ordered sets by A. Ya. Aizenshtat Regular semigroups of endomorphisms of ordered sets by A. Ya. Aizenshtat Certain semigroups of endomorphisms that determine the order in a set by A. Ya. Aizenshtat A survey of studies in partial groupoids by A. E. Evseev Semigroups of transformations of a finite set generated by idempotents with given projection characteristics by A. E. Evseev and N. E. Podran Semigroups of transformations generated by idempotents with given defect by A. E. Evseev and N. E. Podran Transitive representations by transformations of semigroups of a certain class by I. S. Ponizovskii Embedding semigroups in generalized groups by B. M. Shain Certain classes of semigroups of binary relations by B. M. Shain Certain comitants of semigroups of binary relations by B. M. Shain The idempotent semigroup is determined by its pseudogroup of local automorphisms by B. M. Shain Semigroups for which every transitive representative by functions is a representation by invertible functions by B. M. Shain Inverse semigroups that do not admit isomorphic representations by partial transformations of their proper subsets by B. M. Shain Homomorphisms of the semigroups of all partial transformations by E. G. Shutov On a certain semigroup of 1-1 transformations by E. G. Shutov Imbedding of semigroups by E. G. Shutov Inverse codes by Yu. M. Vazhenin.