Results 21 to 30 of about 284 (184)
A Note on Locally Inverse Semigroup Algebras
International Journal of Mathematics and Mathematical Sciences, 2008 Let R be a commutative ring and S a finite locally inverse semigroup. It is proved that the semigroup algebra R[S] is isomorphic to the direct product of Munn algebras ℳ(R[GJ],mJ,nJ;PJ) with J∈S/𝒥, where mJ is the number of ℛ-classes in J, nJ the
Xiaojiang Guo
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On absorption in semigroups and $n$-ary semigroups [PDF]
Logical Methods in Computer Science, 2015 The notion of absorption was developed a few years ago by Barto and Kozik and immediately found many applications, particularly in topics related to the constraint satisfaction problem.
Bojan Bašić
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On commutation semigroups of dihedral groups [PDF]
Semigroup Forum, 2013 For G a group and g in G, we define mappings pg(G) and lg(G) from G into G by pg(x)=[x,g] and lg(x)=[g,x]. We let P(G) and L(G) denote the subsemigroups of the set of all mappings from G to G generated by {pg: g in G} and {lg: g in G}, respectively. P(G) and L(G) are called the right and left commutation semigroup of G, respectively.
DeWolf, Darien +2 more
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Neutrosophic LA-Semigroup Rings [PDF]
Neutrosophic Sets and Systems, 2015 Neutrosophic LA-semigroup is a midway structure between a neutrosophic groupoid and a commutative neutrosophic semigroup. Rings are the old concept in algebraic structures.
Mumtaz Ali +3 more
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On Characterization of Relatively Commutative Semigroups
Communications in Advanced Mathematical SciencesThis paper defines a novel semigroup construction, called a relatively commutative semigroup. A semigroup is called relatively commutative if there exist $k,r,t,s\in \mathbb{Z^{+}}$ and $x,y\in S$ such that $(ab)^{k}=b^{r}ax$ and $(ab)^{t}=yba^{s}$ for ...
Rasie Mekera, Didem Yeşil
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Journal of Algebraic SystemsRecently, the concept of r-ideal was introduced in a commutative ring and also in a commutative semigroup. Here, we provide a similar definition for r-ideal in a frame and investigate someof its properties.
Ali Akbar Estaji +2 more
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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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Non-commutative computer algebra and molecular computing [PDF]
Computer Science Journal of Moldova, 2001 Non-commutative calculations are considered from the molecular computing point of view. The main idea is that one can get more advantage in using molecular computing for non-commutative computer algebra compared with a commutative one.
Svetlana Cojocaru, Victor Ufnarovski
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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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New models for some free algebras of small ranks
Karpatsʹkì Matematičnì Publìkacìï, 2023 Dimonoids, generalized digroups and doppelsemigroups are algebras defined on a set with two binary associative operations. The notion of a dimonoid was introduced by J.-L.
A.V. Zhuchok, G.F. Pilz
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