Results 11 to 20 of about 122,444 (130)
On lattice isomorphisms of orthodox semigroups [PDF]
Acta Scientarum Mathematicarum, 2021 Two semigroups are lattice isomorphic if the lattices of their subsemi-groups are isomorphic, and a class of semigroups is lattice closed if it contains every semigroup which is lattice isomorphic to some semigroup from that class.
S. M. Goberstein
semanticscholar +1 more source
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
doaj +1 more source
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
wiley +1 more source
HOMOGENEOUS COMPLETELY SIMPLE SEMIGROUPS
Mathematika, Volume 66, Issue 3, Page 733-751, July 2020., 2020 Abstract A semigroup is completely simple if it has no proper ideals and contains a primitive idempotent. We say that a completely simple semigroup S is a homogeneous completely simple semigroup if any isomorphism between finitely generated completely simple sub‐semigroups of S extends to an automorphism of S.
Thomas Quinn‐Gregson
wiley +1 more source
Open Mathematics, 2015 In this paper, we give some new characterizations of orthodox semigroups in terms of the set of inverses of idempotents. As a generalization, a new class of regular semigroups, namely Vn-semigroups, is introduced.
Gu Ze, Tang Xilin
doaj +1 more source
Embedding in a Finite 2-Generator Semigroup [PDF]
, 2017 We augment the body of existing results on embedding finite semigroups of a certain type into 2-generator finite semigroups of the same type. The approach adopted applies to finite semigroups the idempotents of which form a band and also to finite ...
Higgins +7 more
core +1 more source
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
core +1 more source
Two Generalizations of Homogeneity in Groups with Applications to Regular Semigroups [PDF]
, 2014 Let $X$ be a finite set such that $|X|=n$ and let $i\leq j \leq n$. A group $G\leq \sym$ is said to be $(i,j)$-homogeneous if for every $I,J\subseteq X$, such that $|I|=i$ and $|J|=j$, there exists $g\in G$ such that $Ig\subseteq J$.
Araújo, João, Cameron, Peter J.
core +2 more sources
Idempotent 2x2 matrices over linearly ordered abelian groups [PDF]
Categories and General Algebraic Structures with ApplicationsIn this paper we study multiplicative semigroups of $2\times 2$ matrices over a linearly ordered abelian group with an externally added bottom element. The multiplication of such a semigroup is defined by replacing addition and multiplication by join and
Valdis Laan, Marilyn Kutti
doaj +1 more source