Results 41 to 50 of about 58,101 (201)

On the Multiplicative Semigroup of a Commutative Ring [PDF]

open access: yesProceedings 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.
openaire   +1 more source

Semigroups of order-decreasing transformations [PDF]

open access: yes, 2012
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
core   +2 more sources

Commutative Topological Semigroups Embedded into Topological Abelian Groups

open access: yesAxioms, 2020
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
doaj   +1 more source

On weakly commutative peo-semigroups

open access: yesSemigroup 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
openaire   +2 more sources

The discrete fragmentation equations : semigroups, compactness and asynchronous exponential growth [PDF]

open access: yes, 2012
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
core   +4 more sources

On matrix representations of oversemigroups of semigroups generated by two mutually annihilating idempotents

open access: yesНауковий 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
doaj   +1 more source

Characterizing the Ordered AG-Groupoids Through the Properties of Their Different Classes of Ideals

open access: yesҚарағанды 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
doaj   +1 more source

Transposition Regular AG-Groupoids and Their Decomposition Theorems

open access: yesMathematics, 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
doaj   +1 more source

Epimorphisms, dominions and H-commutative semigroups [PDF]

open access: yes, 2020
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
core   +1 more source

Cayley automaton semigroups [PDF]

open access: yes, 2015
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
core   +2 more sources

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