Results 31 to 40 of about 543 (107)
Unary semigroups with an associate subgroup [PDF]
, 2008 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
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On quasi-F-orthodox semigroups [PDF]
Proceedings of the Edinburgh Mathematical Society, 1995 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.
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Covers for regular semigroups and an application to complexity [PDF]
, 1943 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.
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Symmetry Representations in the Rigged Hilbert Space Formulation of Quantum Mechanics [PDF]
, 2002 We discuss some basic properties of Lie group representations in rigged Hilbert spaces. In particular, we show that a differentiable representation in a rigged Hilbert space may be obtained as the projective limit of a family of continuous ...
A Bohm +22 more
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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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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
wiley +1 more source
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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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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