Results 21 to 30 of about 27,754 (248)
Semigroup Forum, 1972 Various methods have been given for establishing the existence of the free inverse semigroup FIA on a set A, and for constructing it explicitly (see, for example, [2], [5], [7], [9], [10], [11]). In this paper we outline a graph-theoretic technique for representing the elements of FIA.
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A characterization of a ∼ admissible congruence on a weakly type B semigroup
Open Mathematics, 2023 In this article, the notions of ∼ \sim admissible congruences and ∼ \sim normal congruences on a weakly type B semigroup are characterized and the relationship between ∼ \sim admissible congruences and ∼ \sim normal congruences is investigated.
Li Chunhua +3 more
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Amalgamating inverse semigroups over ample semigroups [PDF]
Proceedings of the Estonian Academy of SciencesWe consider semigroup amalgams (S; T1, T2) in which T1 and T2 are inverse semigroups and S is a non-inverse semigroup. They are known to be non-embeddable if T1 and T2 are both groups (Clifford semigroups), but S is not such. We prove that (S; T1, T2) is
Nasir Sohail
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Fiat categorification of the symmetric inverse semigroup IS_n and the semigroup F^*_n [PDF]
, 2017 Starting from the symmetric group $S_n$, we construct two fiat $2$-categories. One of them can be viewed as the fiat "extension" of the natural $2$-category associated with the symmetric inverse semigroup (considered as an ordered semigroup with respect ...
Martin, Paul, Mazorchuk, Volodymyr
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Communications of the Korean Mathematical Society, 2012 Summary: \((S,*)\) is a semigroup \(S\) equipped with a unary operation ``\(*\)''. This work is devoted to a class of unary semigroups, namely \(E\)-inversive \(*\)-semigroups. A unary semigroup \((S,*)\) is called an \(E\)-inversive \(*\)-semigroup if the following identities hold: \(x^*xx^*=x^*\), \((x^*)^*=xx^*x\), \((xy)^*=y^*x^*\). In this paper, \
Wang, Shoufeng, Li, Yinghui
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Ordered inverse semigroups [PDF]
Transactions of the American Mathematical Society, 1971 In this paper, we consider two questions: one is to characterize the structure of ordered inverse semigroups and the other is to give a condition in order that an inverse semigroup is orderable. The solution of the first question is carried out in terms of three types of mappings.
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The Structure of a Graph Inverse Semigroup [PDF]
, 2015 Given any directed graph E one can construct a graph inverse semigroup G(E), where, roughly speaking, elements correspond to paths in the graph. In this paper we study the semigroup-theoretic structure of G(E).
Mesyan, Zachary, Mitchell, J. D.
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Brandt Extensions and Primitive Topological Inverse Semigroups
International Journal of Mathematics and Mathematical Sciences, 2010 We study (countably) compact and (absolutely) 𝐻-closed primitive topological inverse semigroups. We describe the structure of compact and countably compact primitive topological inverse semigroups and show that any countably compact primitive topological
Tetyana Berezovski +2 more
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Some Characterizations for Approximate Biflatness of Semigroup Algebras
Journal of Mathematics, 2023 In this paper, we study an approximate biflatness of l1S, where S is a Clifford semigroup. Indeed, we show that a Clifford semigroup algebra l1S is approximately biflat if and only if every maximal subgroup of S is amenable, ES is locally finite, and l1S
N. Razi, A. Sahami
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A note on the Howson property in inverse semigroups [PDF]
, 2016 An algebra has the Howson property if the intersection of any two finitely generated subalgebras is finitely generated. A simple necessary and sufficient condition is given for the Howson property to hold on an inverse semigroup with finitely many ...
Jones, Peter R.
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