Results 1 to 10 of about 543 (107)
International Journal of Mathematics and Mathematical Sciences, 1990 Let M={a,b,c,…} and Γ={α,β,γ,…} be two non-empty sets. M is called a Γ-semigroup if aαb∈M, for α∈Γ and b∈M and (aαb)βc=aα(bβc), for all a,b,c∈M and for all α,β∈Γ. A semigroup can be considered as a Γ-semigroup.
M. K. Sen, N. K. Saha
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Bisimple monogenic orthodox semigroups [PDF]
Semigroup Forum, 2016 We give a complete description of the structure of all bisimple orthodox semigroups generated by two mutually inverse ...
A.H. Clifford +10 more
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End-completely-regular and end-inverse lexicographic products of graphs. [PDF]
ScientificWorldJournal, 2014 A graph X is said to be End‐completely‐regular (resp., End‐inverse) if its endomorphism monoid End(X) is completely regular (resp., inverse). In this paper, we will show that if X[Y] is End‐completely‐regular (resp., End‐inverse), then both X and Y are End‐completely‐regular (resp., End‐inverse).
Hou H, Gu R.
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International Journal of Mathematics and Mathematical Sciences, 2011 It has been well known that the band of idempotents of a naturally ordered orthodox semigroup satisfying the “strong Dubreil-Jacotin condition” forms a normal band.
Shouxu Du, Xinzhai Xu, K. P. Shum
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Lattice isomorphisms of bisimple monogenic orthodox semigroups [PDF]
Semigroup Forum, 2011 Using the classification and description of the structure of bisimple monogenic orthodox semigroups obtained in \cite{key10}, we prove that every bisimple orthodox semigroup generated by a pair of mutually inverse elements of infinite order is strongly ...
A.H. Clifford +11 more
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Structure of split additively orthodox semirings
AIMS Mathematics, 2022 The ideas of transversals are important to study algebraic structures which are useful for investigating semirings structure. In this paper, we introduce and explore split additively orthodox semirings which are special semirings with transversals. After
Kaiqing Huang, Yizhi Chen, Aiping Gan
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Additively orthodox semirings with special transversals
AIMS Mathematics, 2022 A semiring (S,+,⋅) is called additively orthodox semiring if its additive reduct (S,+) is a orthodox semigroup. In this paper, by introducing some special semiring transversals as the tools, the constructions of additively orthodox semirings with a skew ...
Kaiqing Huang, Yizhi Chen, Miaomiao Ren
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The Relationship between E‐Semigroups and R‐Semigroups
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 A semigroup is called an E‐semigroup (R‐semigroup) if the set of all idempotents (the set of all regular elements) forms a subsemigroup. In this paper, we introduce the concept of V‐semigroups and establish the relationship between the three classes of semigroups.
Ze Gu, Xuanlong Ma
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Unit orthodox semigroups [PDF]
Glasgow Mathematical Journal, 1983 Let S be a regular semigroup. Given x ∈ S, we shall say that a ∈ S is an associate of x if xax = x. The set of associates of x ∈ S will be denoted by A(x). Now suppose that S has an identity element 1. Let H1 denote the group of units of S. Then we say that u ∈ S is a unit associate of x whenever u ∈ A(x)∩Hl. In what follows we shall write U(x) = A(x)∩=
Blyth, T. S., McFadden, R.
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Some results on semigroups of transformations with restricted range
Open Mathematics, 2021 Let XX be a non-empty set and YY a non-empty subset of XX. Denote the full transformation semigroup on XX by T(X)T\left(X) and write f(X)={f(x)∣x∈X}f\left(X)=\{f\left(x)| x\in X\} for each f∈T(X)f\in T\left(X). It is well known that T(X,Y)={f∈T(X)∣f(X)⊆Y}
Yan Qingfu, Wang Shoufeng
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