This book is an indispensable source for anyone with an interest in semigroup theory or
whose research overlaps with this increasingly important and active field of mathematics. It …

We establish a necessary condition (E) for a semigroup variety to be closed under the taking
of epimorphisms and a necessary condition (S) for a variety to consist entirely of saturated …

The aim of this paper is to determine several saturated classes of structurally regular
semigroups. First, we show that structurally (n, m)-regular semigroups are saturated in a …

A semigroup with an epimorphically embedded subband Page 1 BULL. AUSTRAL. MATH.
SOC. 20M05, 20M07 VOL. 27 (1983), 231-242. A SEMIGROUP WITH AN EPIMORPHICALLY …

In this paper, we discussed some saturated classes of ℋ‐commutative semigroups, left
(right) regular semigroups, medial semigroups, and paramedial semigroups. The results of …

The category of commutative regular ringswith identity enjoys the amalgamation property
and has transferable injections. It follows that the amalgamation class of the category of …

The following question is considered. If A is a ring (associative) satisfying a polynomial
identity (or a family of identities) and f: A—• B is an epimorphism, must B also satisfy the …

We show that the class of permutative semigroups (medial semigroups) satisfying the
homotypical identity [axy= axay] is saturated and, as a corollary, we found that an externally …

It is a great pleasure and privilege to be speaking at a conference in memory of AH Clifford,
who has unquestionably been one of the main influences on my mathematical work. I met …

This survey is a continuation of a series of surveys on the theory of rings and modules.
Results on the theory of associative rings covered in Referativnyi Zhurnal “Matematika” …