Ulrich Hertrampf: On the Acceptance Power of Groups and Semigroups. Universität Trier, Mathematik/Informatik, Forschungsbericht 96-07 (1996).
Jul 28, 2023 · To the best of my knowledge, power semigroups were first explicitly studied by Tamura and Shafer in the late 1960s.
Sep 22, 2021 · Let S be a finite semigroup. I want to define an exponent of S which is a generalization of the familiar term in finite groups.
This paper reports, without proof, that if S1 and S2 are finite semigroups and if their power semigroups are isomorphic, then S1 and S2 are isomorphic; ...
Sep 13, 2022 · The study of the graphical representation of semigroups and groups has become an exciting research area in the past few decades, ...
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Sep 20, 2023 · We find structural conditions on a finite inverse semigroup guaranteeing that neither semiring nor involution identities of the involution ...
Feb 9, 2008 · We prove the pseudovariety generated by power semigroups of completely simple semigroups is the semidirect product of the pseudovariety of ...
The enhanced power graph Pe(S) of a semigroup S is a simple graph whose vertex set is S and two vertices x, y ∈ S are adjacent if and only if x, y ∈ ⟨z⟩ for ...
In this paper we give a complete description of all infinite matrix semigroups satisfying a certain combinatorial property defined in terms of power graphs.
Jun 17, 2022 · We show that if the group G is finite, non-Dedekind, and solvable, neither the semiring (\mathcal{P}(G),\cup,\cdot) nor the involution semigroup ...