Results 1 to 10 of about 29 (29)
On an equivalence between regular ordered Γ-semigroups and regular ordered semigroups
Open Mathematics, 2020 In this paper, we develop a technique which enables us to obtain several results from the theory of Γ-semigroups as logical implications of their semigroup theoretical analogues.
Çullhaj Fabiana, Krakulli Anjeza
doaj +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 8, Page 459-466, 2002., 2002 Let R be a ring. The circle operation is the operation a∘b = a + b − ab, for all a, b ∈ R. This operation gives rise to a semigroup called the adjoint semigroup or circle semigroup of R. We investigate rings in which the adjoint semigroup is regular. Examples are given which illustrate and delimit the theory developed.
Henry E. Heatherly, Ralph P. Tucci
wiley +1 more source
Ordered Regular Semigroups with Biggest Associates
Discussiones Mathematicae - General Algebra and Applications, 2019 We investigate the class BA of ordered regular semigroups in which each element has a biggest associate x† = max {y | xyx = x}. This class properly contains the class PO of principally ordered regular semigroups (in which there exists x⋆ = max {y | xyx ...
Blyth T.S., Santos M.H. Almeida
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Non-commutative finite monoids of a given order n ≥ 4
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 For a given integer n=p1α1p2α2⋯pkαk$n = p_1^{\alpha _1 } p_2^{\alpha _2 } \cdots p_k^{\alpha _k }$ (k ≥ 2), we give here a class of finitely presented finite monoids of order n. Indeed the monoids Mon(π), where π=〈a1,a2,…,ak|aipiαi=ai, (i=1,2,…,k),aiai+
Ahmadi B., Campbell C.M., Doostie H.
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Bi-Interior Ideals of Semigroups
Discussiones Mathematicae - General Algebra and Applications, 2018 In this paper, as a further generalization of ideals, we introduce the notion of bi-interior ideal as a generalization of quasi ideal, bi-ideal and interior ideal of semigroup and study the properties of bi-interior ideals of semigroup, simple semigroup ...
Rao M. Murali Krishna
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A study on soft rough semigroups and corresponding decision making applications
Open Mathematics, 2017 In this paper, we study a kind of soft rough semigroups according to Shabir’s idea. We define the upper and lower approximations of a subset of a semigroup.
Wang Qiumei +2 more
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FACTORIZATION THEOREMS FOR MORPHISMS OF ORDERED GROUPOIDS AND INVERSE SEMIGROUPS
, 2001 Adapting the theory of the derived category to ordered groupoids, we prove that every ordered functor (and thus every inverse and regular semigroup homomorphism) factors as an enlargement followed by an ordered fibration.
Benjamin Steinberg
core +1 more source
Open MathematicsLet L(V) be the full linear transformation semigroup on a vector space V under composition. For a subspace U of V, we define:LGL(U)(V)={α∈L(V):α|U∈GL(U)} $${L}_{GL\left(U\right)}\left(V\right)=\left\{\alpha \in L\left(V\right) : \alpha {\vert }_{U}\in GL\
Sangkhanan Kritsada
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On The Category of Completely Regular Semigroups
, 2018 In this paper class of completely regular semigroups is considered. It is well known that the category ℒ(S) of left ideals of regular semigroups form a normal category and the semigroup of normal cones in this category is a regular semigroup.
Michael, Siji, Romeo, P G
core
Some of the next articles are maybe not open access.
Retractive Nil-Extensions of Regular Semigroups, II
Proceedings of the Japan Academy Series A: Mathematical Sciences, 1992Miroslav Ciric, Stojan Bogdanović
exaly