Results 41 to 50 of about 1,200 (220)
Automatic presentations for semigroups
, 2012 Special Issue: 2nd International Conference on Language and Automata Theory and Applications (LATA 2008)This paper applies the concept of FA-presentable structures to semigroups.
Cain, Alan James +3 more
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Науковий вісник Ужгородського університету. Серія: Математика і інформатика, 2020 Matrix representations of finite semigroups over fields are studied not so well as for finite groups. Representations of finite groups over fields are studied sufficiently well; in particular, the criterions of representation type are fully defined for ...
В. М. Бондаренко +1 more
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Unary FA-presentable semigroups
, 2012 Automatic presentations, also called FA-presentations, were introduced to extend nite model theory to innite structures whilst retaining the solubility of interesting decision problems.
Cain, Alan James +2 more
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Characterizing the Ordered AG-Groupoids Through the Properties of Their Different Classes of Ideals
Қарағанды университетінің хабаршысы. Математика сериясы, 2020 In this article, we have presented some important charcterizations of the ordered non-associative semigroups in relation to their ideals. We have initially characterized the ordered AG-groupoid through the properties of the their ideals, then we ...
N. Kausar +3 more
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Transposition Regular AG-Groupoids and Their Decomposition Theorems
Mathematics, 2022 In this paper, we introduce transposition regularity into AG-groupoids, and a variety of transposition regular AG-groupoids (L1/R1/LR, L2/R2/L3/R3-groupoids) are obtained. Their properties and structures are discussed by their decomposition theorems: (1)
Yudan Du, Xiaohong Zhang, Xiaogang An
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On weakly commutative peo-semigroups
Semigroup Forum, 1990 In this paper a partially ordered semigroup (S,\(\cdot,\leq)\) with greatest element e is called weakly commutative if for every a,b\(\in S\) there is \(n\in {\mathbb{N}}\) such that \((ab)^ n\leq bea\). The main result states that every such semigroup S is a semilattice of archimedean subsemigroups (where a subsemigroup T of S is archimedean if for ...
Kehayopulu, N. +3 more
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On the Multiplicative Semigroup of a Commutative Ring [PDF]
Proceedings of the American Mathematical Society, 1959 This note establishes the theorem that a commutative ring is finite provided its multiplicative semigroup is finitely generated. The author does not know whether the assumption of commutativity is necessary for the truth of the theorem.
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A Levi–Civita Equation on Monoids, Two Ways
Annales Mathematicae Silesianae, 2022 We consider the Levi–Civita equation f(xy)=g1(x)h1(y)+g2(x)h2(y)f\left( {xy} \right) = {g_1}\left( x \right){h_1}\left( y \right) + {g_2}\left( x \right){h_2}\left( y \right) for unknown functions f, g1, g2, h1, h2 : S → ℂ, where S is a monoid.
Ebanks Bruce
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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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Commutative semigroup cohomology
Communications in Algebra, 1991 Let \(S\) be a commutative semigroup. A Beck extension of \(S\) by an abelian group object \(A\) of a (comma) category \(\mathfrak L\) consists of a commutative semigroup \(C=(C,q)\) over \(S\), with \(q\) surjective, and for each \(T\in{\mathfrak L}\) a simply transitive abelian group action of \(\hbox{Hom}_{\mathfrak L}(T,A)\) on the set \(\hbox{Hom ...
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