Results 111 to 120 of about 468 (134)

Isbell’s Zigzag theorem for permutative orthodox semigroups and clifford semigroups

Asian-European Journal of Mathematics, 2021
In 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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SUBDIRECT PRODUCT STRUCTURE OF LEFT CLIFFORD SEMIGROUPS

Words, Languages & Combinatorics III, 2003
K P Shum
exaly   +2 more sources

GLOBAL DETERMINISM OF CLIFFORD SEMIGROUPS

Journal of the Australian Mathematical Society, 2014
AbstractIn 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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Constituent groups of Clifford semigroups arising from t-closure

Journal of Algebra, 2009
The t-class semigroup of an integral domain R, denoted St(R), is the semigroup of fractional t-ideals modulo its subsemigroup of nonzero principal ideals with the operation induced by ideal t-multiplication.
S Kabbaj, A Mimouni
exaly   +2 more sources

Right Clifford restriction semigroups

Journal of Algebra and Its Applications, 2023
Right 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, Junying Guo, Xiaojiang Guo, K. P. Shum   +3 more
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The Semigroup Structure of Left Clifford Semirings

Acta Mathematica Sinica, English Series, 2003
A left zero band semiring is a semiring whose additive reduct is a left zero band and whose multiplicative reduct is a band. A left ring is the direct product of a left zero band semiring and a ring, and a left Clifford semiring is a distributive lattice of left rings.
Guo, Yu Qi, Shum, Kar Ping, Sen, M. K.
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Set-theoretical solutions of the pentagon equation on Clifford semigroups [PDF]

Semigroup Forum
Given a set-theoretical solution of the pentagon equation s : S × S → S × S on a set S and writing s(a, b) = (a · b, θa(b)), with · a binary operation on S and θa a map from S into itself, for every a ∈ S, one naturally obtains that (S, ·) is a semigroup.
Marzia Mazzotta, Paola Stefanelli
exaly   +4 more sources

Weak containment and Clifford semigroups

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1978
SynopsisLet S be a Clifford semigroup with identity. The weak containment question is posed for S, and answered affirmatively when each of the maximal groups Se in S is amenable. The amenability of S itself is characterised in terms of PL(S), the set of normalised positive definite functions on S arising from the left regular representation of S.
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Clifford semigroups of left quotients

Glasgow Mathematical Journal, 1986
Several definitions of a semigroup of quotients have been proposed and studied by a number of authors. For a survey, the reader may consult Weinert's paper [8]. The motivation for many of these concepts comes from ring theory and the various notions of rings of quotients.
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Maximal Clifford Semigroups of Matrices

Sarajevo Journal of Mathematics
All maximal Clifford semigroups of matrices are identified up to isomorphism. If the ground field of the matrices is finite, then there exists a unique Clifford semigroup of maximum order.
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