Results 111 to 120 of about 366 (139)
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CLIFFORD SEMIGROUPS AND SEMINEAR-RINGS OF ENDOMORPHISMS
We consider the structure of the semigroup of self-mappings of a semigroup S under pointwise composition, generated by the endomorphisms of S. We show that if S is a Clifford semigroup, with underlying semilattice Λ, then the endomorphisms of S generate a Clifford semigroup E+(S) whose underlying semilattice is the set of endomorphisms of Λ.
GİLBERT, Nick D., SAMMAN, Mohammad
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Asian-European Journal of Mathematics, 2022
In this paper, we establish the orbit-stabilizer theorem and the orbit decomposition theorem for a Clifford semigroup. Moreover, we establish that for a Clifford semigroup [Formula: see text], any two homogeneous Clifford [Formula: see text]-sets [Formula: see text] and [Formula: see text] are Clifford [Formula: see text]-isomorphic if and only if for
Monika Paul, S. K. Maity
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In this paper, we establish the orbit-stabilizer theorem and the orbit decomposition theorem for a Clifford semigroup. Moreover, we establish that for a Clifford semigroup [Formula: see text], any two homogeneous Clifford [Formula: see text]-sets [Formula: see text] and [Formula: see text] are Clifford [Formula: see text]-isomorphic if and only if for
Monika Paul, S. K. Maity
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Isbell’s Zigzag theorem for permutative orthodox semigroups and clifford semigroups
Asian-European Journal of Mathematics, 2021In this paper, we prove that the dominion of any full orthodox subsemigroup of a medial orthodox semigroup is described by the Isbell zigzag theorem in the category of medial orthodox semigroups. As a consequence, the dominions of any full completely regular subsemigroup of a medial completely regular semigroup as well as that of any full Clifford ...
Noor Alam, Noor Mohammad Khan
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C*-algebras of Clifford semigroups
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1989SynopsisWe investigate algebras associated with a (discrete) Clifford semigroupS =∪{Ge: e ∈ E{. We show that the representation theory forSis determined by an enveloping Clifford semigroupUC(S) =∪{Gx: x ∈ X} whereXis the filter completion of the semilatticeE.We describe the representation theory in terms of both disintegration theory and sheaf theory.
Duncan, John, Paterson, A. L. T.
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A generalized Clifford theorem of semigroups
Science China Mathematics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ren, Xue-Ming, Shum, K. P., Guo, Yu-Qi
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GLOBAL DETERMINISM OF CLIFFORD SEMIGROUPS
Journal of the Australian Mathematical Society, 2014AbstractIn this paper we shall give characterizations of the closed subsemigroups of a Clifford semigroup. Also, we shall show that the class of all Clifford semigroups satisfies the strong isomorphism property and so is globally determined. Thus the results obtained by Kobayashi [‘Semilattices are globally determined’,Semigroup Forum29(1984), 217–222]
Gan, Aiping, Zhao, Xianzhong
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Right Clifford restriction semigroups
Journal of Algebra and Its Applications, 2023Right C-restriction semigroups are the common generalizations of right C-rpp semigroups and right C-lpp semigroups. The structure of such a semigroup is established in terms of the [Formula: see text]-product of a right regular band and a C-restriction semigroup.
Jiajia Duan +3 more
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Clifford semigroups as functors and their cohomology
Semigroup Forum, 2011Let \(\mathcal C\) be a category. The `diagram category' \(Dg(\mathcal C)\) has functors \(T\colon\Sigma\to\mathcal C\) where \(\Sigma\) is a small category as its objects and certain natural transformations as its morphisms. For a semilattice \(E\) regarded as a category, a functor \(F\colon E\to\mathbf{Grp}\) is called a `semilattice imbedding' if ...
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Commutative clifford semigroups with maximal endomorphism semirings
Periodica Mathematica Hungarica, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Howell K.-T., Maxson C.J.
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