Results 41 to 50 of about 58,101 (201)
On the Multiplicative Semigroup of a Commutative Ring [PDF]
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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Semigroups of order-decreasing transformations [PDF]
Let X be a totally ordered set and consider the semigroups of orderdecreasing (increasing) full (partial, partial one-to-one) transformations of X. In this Thesis the study of order-increasing full (partial, partial one-to-one) transformations has been
Umar, Abdullahi
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Commutative Topological Semigroups Embedded into Topological Abelian Groups
In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group.
Julio César Hernández Arzusa
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On weakly commutative peo-semigroups
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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The discrete fragmentation equations : semigroups, compactness and asynchronous exponential growth [PDF]
In this paper we present a class of fragmentation semigroups which are compact in a scale of spaces defined in terms of finite higher moments. We use this compactness result to analyse the long time behaviour of such semigroups and, in particular, to ...
Banasiak, Jacek, Lamb, Wilson
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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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Characterizing the Ordered AG-Groupoids Through the Properties of Their Different Classes of Ideals
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
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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Epimorphisms, dominions and H-commutative semigroups [PDF]
In the present paper, a series of results and examples that explore the structural features of H-commutative semigroups are provided. We also generalise a result of Isbell from commutative semigroups to H-commutative semigroups by showing that the ...
Alam, Noor +2 more
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Cayley automaton semigroups [PDF]
Let S be a semigroup, C(S) the automaton constructed from the right Cayley graph of S with respect to all of S as the generating set and ∑(C(S)) the automaton semigroup constructed from C(S). Such semigroups are termed Cayley automaton semigroups. For
McLeman, Alexander Lewis Andrew
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