Results 21 to 30 of about 541 (105)
Characterizations of N(2,2, 0) Algebras
The so‐called ideal and subalgebra and some additional concepts of N(2, 2, 0) algebras are discussed. A partial order and congruence relations on N(2, 2, 0) algebras are also proposed, and some properties are investigated.
Fang-an Deng +4 more
wiley +1 more source
On generalized Ehresmann semigroups
As a generalization of the class of inverse semigroups, the class of Ehresmann semigroups is introduced by Lawson and investigated by many authors extensively in the literature.
Wang Shoufeng
doaj +1 more source
Embedding in a Finite 2-Generator Semigroup [PDF]
We augment the body of existing results on embedding finite semigroups of a certain type into 2-generator finite semigroups of the same type. The approach adopted applies to finite semigroups the idempotents of which form a band and also to finite ...
Higgins +7 more
core +1 more source
The product of quasi-ideal refined generalised quasi-adequate transversals
As the real common generalisations of both orthodox transversals and adequate transversals in the abundant case, the concept of refined generalised quasi-adequate transversal, for short, RGQA transversal was introduced by Kong and Wang. In this paper, an
Kong Xiangjun, Wang Pei, Wu Yonghong
doaj +1 more source
Elementary orthodox semigroups
A semigroup is said to be elementary if it is generated by a subset \(A\cup B\) where \(aba=a\) and \(bab=b\) for all \(a\in A\), \(b\in B\). The authors extend their earlier work [Semigroup Forum 15, 295-309 (1978; Zbl 0403.20040)], in which free elementary orthodox semigroups were defined and their existence established, by studying the free ...
Williams, W., Eberhart, Carl
openaire +2 more sources
Let R be a ring. The circle operation is the operation a∘b = a + b − ab, for all a, b ∈ R. This operation gives rise to a semigroup called the adjoint semigroup or circle semigroup of R. We investigate rings in which the adjoint semigroup is regular. Examples are given which illustrate and delimit the theory developed.
Henry E. Heatherly, Ralph P. Tucci
wiley +1 more source
Γ‐group congruences on regular Γ‐semigroups
In this paper a Γ‐group congruence on a regular Γ‐semigroup is defined, some equivalent expressions for any Γ‐group congruence on a regular Γ‐semigroup and those for the least Γ‐group congruence in particular are given.
A. Seth
wiley +1 more source
Covers for regular semigroups and an application to complexity [PDF]
A major result of D.B. McAlister for inverse semigroups is generalised in the paper to classes of regular semigroups, including the class of all regular semigroups.
Trotter, P.G.
core +1 more source
On quasi-F-orthodox semigroups [PDF]
An orthodox semigroup S is termed quasi-F-orthodox if the greatest inverse semigroup homomorphic image of S1 is F-inverse. In this paper we show that each quasi-F-orthodox semigroup is embeddable into a semidirect product of a band by a group. Furthermore, we present a subclass in the class of quasi-F-orthodox semigroups whose members S are embeddable ...
Billhardt, Bernd, Szendrei, Mária B.
openaire +1 more source
Unary semigroups with an associate subgroup [PDF]
A subgroup H of a regular semigroup S is said to be an associate subgroup of S if for every s ∈ S, there is a unique associate of s in H. An idempotent z of S is said to be medial if czc = c, for every c product of idempotents of S.
Martins, Paula Mendes, Petrich, Mario
core +1 more source

