Results 1 to 10 of about 12 (12)

On an equivalence between regular ordered Γ-semigroups and regular ordered semigroups

open access: yesOpen 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

Adjoint regular rings

open access: yesInternational 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

open access: yesDiscussiones 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
doaj   +1 more source

Non-commutative finite monoids of a given order n ≥ 4

open access: yesAnalele 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.
doaj   +1 more source

Bi-Interior Ideals of Semigroups

open access: yesDiscussiones 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
doaj   +1 more source

A study on soft rough semigroups and corresponding decision making applications

open access: yesOpen 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
doaj   +1 more source

Autoantibodies against IL-17A, IL-17F, and IL-22 in patients with chronic mucocutaneous candidiasis and autoimmune polyendocrine syndrome type I. [PDF]

open access: yesJ Exp Med, 2010
Puel A   +28 more
europepmc   +1 more source

Evolutionary-new centromeres preferentially emerge within gene deserts. [PDF]

open access: yesGenome Biol, 2008
Lomiento M   +4 more
europepmc   +1 more source

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