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The paper contains characterizations of semigroup varieties whose semigroups with one generator (two generators) are permutable. Here all varieties of regular $*$ -semigroups are described in which each semigroup with two generators is permutable.

On quasi-ideals of semirings.

Dönges, Christoph (1994)

International Journal of Mathematics and Mathematical Sciences

On Regular Right Duo Semigroups.

S. Lajos (1972)

Elemente der Mathematik

On sandwich sets and congruences on regular semigroups

Mario Petrich (2006)

Czechoslovak Mathematical Journal

Let $S$ be a regular semigroup and $E (S)$ be the set of its idempotents. We call the sets $S (e, f) f$ and $e S (e, f)$ one-sided sandwich sets and characterize them abstractly where $e, f \in E (S)$ . For $a, a^{'} \in S$ such that $a = a a^{'} a$ , $a^{'} = a^{'} a a^{'}$ , we call $S (a) = S (a^{'} a, a a^{'})$ the sandwich set of $a$ . We characterize regular semigroups $S$ in which all $S (e, f)$ (or all $S (a))$ are right zero semigroups (respectively are trivial) in several ways including weak versions of compatibility of the natural order. For every $a \in S$ , we also define $E (a)$ as the set of all idempotets $e$ such that, for any congruence $ρ$ on...

On semilattices of groups whose arrows are epimorphisms.

Abdallah, M.El-Ghali M., Gab-Alla, L.N., Elagan, Sayed K.M. (2006)

International Journal of Mathematics and Mathematical Sciences

On some presentations of completely regular semigroups.

K.S. Ajan (1992)

Semigroup forum

On some problems of Petrich concerning Brück and Reilly semigroups.

A. Ali Ismaeel (1992)

Semigroup forum

On structure space of $Γ$ -semigroups

S. Chattopadhyay, S. Kar (2008)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

In this paper we introduce the notion of the structure space of $Γ$ -semigroups formed by the class of uniformly strongly prime ideals. We also study separation axioms and compactness property in this structure space.

On the fundamental double four-spiral semigroup.

Grillet, Pierre Antoine (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

On the lattice of completely regular monoid varieties.

C. Vachuska (1993)

Semigroup forum

On the weak regularity of semigroup rings.

F. Li (1994)

Semigroup forum

On V n -semigroups

Ze Gu, Xilin Tang (2015)

Open Mathematics

In this paper, we give some new characterizations of orthodox semigroups in terms of the set of inverses of idempotents. As a generalization, a new class of regular semigroups, namely Vn-semigroups, is introduced. Also, we give a characterization of Vn-semigroups and investigate some properties of Vn-semigroups. Furthermore, we show that the class of Vn-semigroups is closed under direct products and homomorphic images. However, regular subsemigroups of Vn-semigroups (n ≥ 2) are not necessarily Vn-semigroups...

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On a wreath product embedding for regular semigroups.

On complete $α$ -ideals in semigroups

On congruence lattices of regular semigroups with Q-inverse transversals.

On ordered regular semigroups with biggest inverses.

On permutability in semigroup varieties

On quasi-ideals of semirings.

On Regular Right Duo Semigroups.

On sandwich sets and congruences on regular semigroups

On semilattices of groups whose arrows are epimorphisms.

On some presentations of completely regular semigroups.

On some problems of Petrich concerning Brück and Reilly semigroups.

On structure space of $Γ$ -semigroups

On the fundamental double four-spiral semigroup.

On the lattice of completely regular monoid varieties.

On the weak regularity of semigroup rings.

On V n -semigroups

On varieties of regular $*$ -semigroups

On varieties of regular $*$ -semigroups, II

Onesided inverses for semigroups.

Operators and products in the lattice of existence varieties of regular semigroups.

Currently displaying 1 – 20 of 21