ON THE COMPRESSIVE RADICAL OF SEMIGROUPS
E. N. Roîz · Mathematics of the USSR-Sbornik · 1973
A centered right -polygon (synonyms: -operand, -system) is called right compressive if and and left compressive if and . Here is the congruence on the semigroup called the kernel of the -polygon which is defined as follows: .The intersection of the kernels of all right (left) compressive -polygons is called the right (left) compressive radical of . In this paper we study compressively semisimple and compressively radical semigroups.