Results 21 to 30 of about 262,182 (221)
On generators, relations and D-simplicity of direct products, Byleen extensions, and other semigroup constructions [PDF]
, 2015 In this thesis we study two different topics, both in the context of semigroup constructions. The first is the investigation of an embedding problem, specifically the problem of whether it is possible to embed any given finitely presentable semigroup ...
Baynes, Samuel
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The $LMC$-compactification of a topologized semigroup [PDF]
Czechoslovak Mathematical Journal, 1988 It is known [\textit{J. Berglund}, \textit{H. Jungheim}, and \textit{P. Milnes}, Compact right topological semigroups and generalizations of almost periodicity (Lect. Notes Math. 663, 1978; Zbl 0406.22005)] that any Hausdorff semitopological semigroup (operation is separately continuous on both sides) has a compactification (e,X) maximal with respect ...
Hindman, Neil, Milnes, Paul
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Every group is a maximal subgroup of the free idempotent generated semigroup over a band [PDF]
, 2013 Given an arbitrary group G we construct a semigroup of idempotents (band) BG with the property that the free idempotent generated semigroup over BG has a maximal subgroup isomorphic to G. If G is finitely presented then BG is finite. This answers several
Ruskuc, Nik +3 more
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Green index in semigroups : generators, presentations and automatic structures [PDF]
, 2012 The Green index of a subsemigroup T of a semigroup S is given by counting strong orbits in the complement S n T under the natural actions of T on S via right and left multiplication.
Ruskuc, Nik +4 more
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International Journal of Mathematics and Mathematical Sciences, 1988 Let f:X→Y be a continuous semigroup homomorphism. Conditions are given which will ensure that the semigroup X∪Y is a topological semigroup, when the modified Whyburn topology is placed on X∪Y.
Beth Borel Reynolds, Victor Schneider
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Categorically Closed Unipotent Semigroups
Axioms, 2022 Let C be a class of T1 topological semigroups, containing all Hausdorff zero-dimensional topological semigroups. A semigroup X is C-closed if X is closed in any topological semigroup Y∈C that contains X as a discrete subsemigroup; X is injectively C ...
Taras Banakh, Myroslava Vovk
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On Maximal Ideals of Compact Connected Topological Semigroups
International Journal of Mathematics and Mathematical Sciences, 2010 Several results concerning ideals of a compact topological semigroup 𝑆 with 𝑆2=𝑆 can be found in the literature. In this paper, we further investigate in a compact connected topological semigroup 𝑆 how the conditions 𝑆2=𝑆 and 𝑆2≠𝑆 affect the structure ...
Phoebe McLaughlin +2 more
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Topological Additively Representable Semigroups
Journal of Mathematical Analysis and Applications, 1997 A totally ordered set \((S,\lesssim)\) is called representable if there exists a map \(\mu: X\to\mathbb{R}\) such that \(x\lesssim y\) if and only if \(\mu(x) \leq\mu(y)\) for every \(x,y\in X\). This paper is to extend the above concept to totally ordered connected topological semigroups.
Candeal, Juan Carlos +2 more
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Generating the full transformation semigroup using order preserving mappings [PDF]
, 2003 For a linearly ordered set X we consider the relative rank of the semigroup of all order preserving mappings O-X on X modulo the full transformation semigroup Ex. In other words, we ask what is the smallest cardinality of a set A of mappings such that =
Higgins, PM +2 more
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Workdone by m-Topological Transformation Semigroup Regular Spaces (Mψn )
, 2023 This paper introduces a new class of topological Semigroup called the m-Topological Transformation Semigroups; this uses the notion of topological spaces to solve semigroup problem with primary focus on Transformation Semigroups.
Adeniji, A. O. +2 more
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