Results 101 to 110 of about 1,070,702 (215)
Congruences on regular semigroups [PDF]
Pacific Journal of Mathematics, 1967 Reilly, N. R., Scheiblich, H. E.
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A groupoid approach to regular ⁎-semigroups
Advances in MathematicsIn 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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On regular semigroups II: An embedding
Journal of Pure and Applied Algebra, 1986 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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Algebras of right ample semigroups
Open Mathematics, 2018 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
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The left regular *-representation of an inverse semigroup
, 1982 The left regular ∗ ^ * -representation of the semigroup algebra of an inverse semigroup is faithful. Clifford semigroups with a particular type of semilattice are shown to have the weak containment property if and only
J. R. Wordingham
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On (m, n)-ideals and (m, n)-regular ordered semigroups [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2016 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
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On intra-regular ordered semigroups
Semigroup Forum, 1993 The author continues her studies of partially ordered semigroups \(S\) which are intraregular, that is, for every \(a\in S\) there are \(x,y\in S\) such that \(a\leq xa^ 2 y\) [see the author, Semigroup Forum 44, 341-346 (1992; Zbl 0756.06008)]. It is shown (similar to the purely semigroup theoretical case) that a p.o.
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Matrix groups and regular semigroups
Let Tn denote the tranformation semigroup consisting of all maps from [n] → [n], where [n] = {1, . . . , n}. In 2009, Ara´ujo, Mitchell and Schneider gave a classification of subgroups G ≤ Sn such that ⟨G, a⟩ is a regular semigroup for all a ∈ Tn ...
Ye, Zhengkun, Liebeck, Martin
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On the compatibility of the natural order on a regular semigroup
, 1983 SynopsisA notable achievement in the algebraic theory of semigroups has been the discovery by Nambooripad of the natural order on a regular semigroup. He has shown that this order is compatible with multiplication if and only if the semigroup is locally ...
T. S. Blyth, Gracinda M. S. Gomes
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