Results 31 to 40 of about 683 (105)
Amenable Orders on Orthodox Semigroups
Journal of Algebra, 1994 From the authors' introduction. ``Let \(S\) be a semigroup. An inverse transversal of a regular semigroup \(S\) is an inverse subsemigroup \(T\) with the property \(| T\cap V(x)|=1\) for every \(x\in S\), where \(V(x)\) denotes the set of inverses of \(x\in S\). We write the unique element of \(T\cap V(x)\) as \(x^ 0\), and \(T\) as \(S^ 0= \{x^ 0\): \(
Blyth, T.S., Santos, M.H.A.
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Certain congruences on orthodox semigroups [PDF]
Pacific Journal of Mathematics, 1976 Let \(S\) be a regular semigroup and \(E\) be the set of all its idempotents. The semigroup \(S\) is called unitary semigroup if \(e,ea\in E\) implies \(a\in E\) for all \(a,e\in S\). Regular semigroups are described which are underdirect products of unitary semigroups and semilattices of groups.
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Special elements of the lattice of epigroup varieties [PDF]
, 2016 We study special elements of eight types (namely, neutral, standard, costandard, distributive, codistributive, modular, lower-modular and upper-modular elements) in the lattice EPI of all epigroup varieties.
Shaprynskii, V. Yu. +2 more
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Varieties of \u3cem\u3eP\u3c/em\u3e-Restriction Semigroups [PDF]
, 2014 The restriction semigroups, in both their one-sided and two-sided versions, have arisen in various fashions, meriting study for their own sake. From one historical perspective, as “weakly E-ample” semigroups, the definition revolves around a “designated ...
Jones, Peter R.
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Associate inverse subsemigroups of regular semigroups [PDF]
, 2009 By an associate inverse subsemigroup of a regular semigroup S we mean a subsemigroup T of S containing a least associate of each x ∈ S, in relation to the natural partial order ≤S.
Billhardt, Bernd +3 more
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On the diameter of semigroups of transformations and partitions
Journal of the London Mathematical Society, Volume 110, Issue 1, July 2024.Abstract For a semigroup S$S$ whose universal right congruence is finitely generated (or, equivalently, a semigroup satisfying the homological finiteness property of being type right‐FP1$FP_1$), the right diameter of S$S$ is a parameter that expresses how ‘far apart’ elements of S$S$ can be from each other, in a certain sense.
James East +4 more
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Lattice isomorphisms of orthodox semigroups [PDF]
Bulletin of the Australian Mathematical Society, 1992 It is shown that the set of all orthodox subsemigroups of an orthodox semigroup forms a lattice. This lattice is a join-sublattice of the lattice of all semigroups, but is not in general a meet-sublattice. We obtain results concerning lattice isomorphisms between orthodox semigroups, several of which include known results for inverse semigroups as ...
Katherine G. Johnston, F.D. Cleary
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Further results on monoids acting on trees
, 2011 This paper further develops the theory of arbitrary semigroups acting on trees via elliptic mappings. A key tool is the Lyndon-Chiswell length function L for the semigroup S which allows one to construct a tree T and an action of S on T via elliptic maps.
Rhodes, John, Silva, Pedro V.
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Unit-regular orthodox semigroups [PDF]
Glasgow Mathematical Journal, 1984 Unit-regular rings were introduced by Ehrlich [4]. They arose in the search for conditions on a regular ring that are weaker than the ACC, DCC, or finite Goldie dimension, which with von Neumann regularity imply semisimplicity. An account of unit-regular rings, together with a good bibliography, is given by Goodearl [5].
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, 2015 We solve the word problem for the free objects in the variety consisting of bands with a semilattice transversal.
Albert, Justin, Pastijn, Francis
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