Results 121 to 130 of about 1,620 (232)
Algebras of right ample semigroups
Strict RA semigroups are common generalizations of ample semigroups and inverse semigroups. The aim of this paper is to study algebras of strict RA semigroups.
Guo Junying, Guo Xiaojiang
doaj +1 more source
Congruences on regular semigroups [PDF]
Reilly, N. R., Scheiblich, H. E.
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A groupoid approach to regular ⁎-semigroups
In this paper we develop a new groupoid-based structure theory for the class of regular $*$-semigroups. This class occupies something of a `sweet spot' between the important classes of inverse and regular semigroups, and contains many natural examples. Some of the most significant families include the partition, Brauer and Temperley-Lieb monoids, among
East, James (R16839) +1 more
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A note on embedding of semigroup amalgams
We give necessary conditions for the embedding of completely regular semigroup, Clifford semigroup and commutative regular semigroup ...
Rahkema, Kristiina, Sohail, Nasir
core +2 more sources
On regular semigroups II: An embedding
The core (a word suggested by Mario Petrich) of any regular semigroup S is the subsemigroup of S generated by E(S), where E(S) is the set of idempotents of S. For each \(e\in E(S)\) by \(\prec e\succ\) is denoted the core of the regular subsemigroup eSe. The main result is the following Theorem I.
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The Kernel Relation for a Completely Regular Semigroup
The kernel relation for a regular semigroup S identifies two congruences on S if they have the same kernel. It is always a complete ∧-congruence on the congruence lattice C(S) of S.
Petrich, M.
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On (m, n)-ideals and (m, n)-regular ordered semigroups [PDF]
Let m, n be non-negative integers. A subsemigroup A of an ordered semigroup (S, , is called an (m, n)-ideal of S if (i) Am SAn A, and (ii) if x A, y S such that y x, then y A. In this paper, necessary and sufficient conditions for every (
Limpapat Bussaban, Thawhat Changphas
doaj
The Left Regular Representation of a Semigroup
As with groups, one can study the left regular representation of a semigroup. If one considers such representations, then it is natural to ask similar questions to the group case.
Rowe, Barry James
core +2 more sources
Arbitrary vs. regular semigroups
The notion of regularity for semigroups is studied, and it is shown that an unambiguous semigroup (i.e., whose L and R orders are respectively unions of disjoint trees) can be embedded in a regular semigroup with the same subgroups and the same ideal ...
Birget, Jean-Camille
core +1 more source

