Results 11 to 20 of about 1,010,344 (260)

N5 as a Subalgebra of a Principally Ordered Naturally Ordered Regular Semigroup with a Zero Element

Sultan Qaboos University Journal for Science
We start with a basic and technical result: If S is a principally ordered regular semigroup that has a zero element, 0, then 0* is the biggest element (in fact, idempotent) of S.
G.A. Pinto
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Matrix groups and regular semigroups [PDF]

Let Tn denote the tranformation semigroup consisting of all maps from [n] → [n], where [n] = {1, . . . , n}. In 2009, Ara´ujo, Mitchell and Schneider gave a classification of subgroups G ≤ Sn such that ⟨G, a⟩ is a regular semigroup for all a ∈ Tn ...
Martin W. Liebeck, Zhongxing Ye
openalex   +2 more sources

Idempotent-Aided Factorizations of Regular Elements of a Semigroup

Mathematics
In the present paper, we introduce the concept of idempotent-aided factorization (I.-A. factorization) of a regular element of a semigroup, which can be understood as a semigroup-theoretical extension of full-rank factorization of matrices over a field ...
Miroslav Ćirić, Jelena Ignjatović, Predrag S. Stanimirović   +2 more
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Beyond Regular Semigroups [PDF]

, 2012
The topic of this thesis is the class of weakly U-abundant semigroups. This class is very wide, containing inverse, orthodox, regular, ample, adequate, quasi-adequate, concordant, abundant, restriction, Ehresmann and weakly abundant semigroups.
Wang, Yanhui
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A groupoid approach to regular ⁎-semigroups

Advances in Mathematics, 2023
In this paper we develop a new groupoid-based structure theory for the class of regular $*$-semigroups. This class occupies something of a `sweet spot' between the important classes of inverse and regular semigroups, and contains many natural examples. Some of the most significant families include the partition, Brauer and Temperley-Lieb monoids, among
East, James (R16839), Muhammed, P. A. Azeef   +1 more
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Smarandache U-liberal semigroup structure [PDF]

, 2009
In this paper, Smarandache U-liberal semigroup structure is given. It is shown that a semigroup S is Smarandache U-liberal semigroup if and only if it is a strong semilattice of some rectangular monoids. Consequently, some corresponding results on normal
Chen, Yizhi
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New Properties of Anti Fuzzy Ideals of Regular Semigroups

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2019
In this article, we study some properties of anti-fuzzy sub-semigroup, anti fuzzy left (right, two sided) ideal, anti fuzzy ideal, anti fuzzy generalized bi-ideal, anti fuzzy interior ideals and anti fuzzy two sided ideal of regular semigroup.
Samah H. Asaad, Akram S. Mohammed
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On varieties of regular $*$-semigroups [PDF]

Czechoslovak Mathematical Journal, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Idempotent-separating extensions of regular semigroups

International Journal of Mathematics and Mathematical Sciences, 2005
For a regular biordered set E, the notion of E-diagram and the associated regular semigroup was introduced in our previous paper (1995). Given a regular biordered set E, an E-diagram in a category C is a collection of objects, indexed by the elements of ...
A. Tamilarasi
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F-regular semigroups

Journal of Algebra, 2004
A regular semigroup \(S\) is called \(F\)-regular if there exists a group congruence \(\rho\) on \(S\) such that every \(\rho\)-class contains a greatest element with respect to the natural partial order on \(S\). Continuing many investigations of \(F\)-regular semigroups, the authors characterize them and give a new representation of such semigroups ...
Smith, M. Paula Marques, Giraldes, E., Mitsch, H.   +2 more
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