Results 11 to 20 of about 541 (105)
End‐Completely‐Regular and End‐Inverse Lexicographic Products of Graphs [PDF]
The Scientific World Journal, Volume 2014, Issue 1, 2014., 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).
Hailong Hou, Rui Gu, Wu Tongsuo
wiley +2 more sources
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 determined by the lattice of its subsemigroups in the class of all semigroups.
A.H. Clifford +11 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
core +1 more source
A Note on the Topology of Space-time in Special Relativity [PDF]
, 2003 We show that a topology can be defined in the four dimensional space-time of special relativity so as to obtain a topological semigroup for time. The Minkowski 4-vector character of space-time elements as well as the key properties of special relativity ...
Bohm A +5 more
core +3 more sources
End-regular and End-orthodox generalized lexicographic products of bipartite graphs
Open Mathematics, 2016 A graph X is said to be End-regular (End-orthodox) if its endomorphism monoid End(X) is a regular (orthodox) semigroup. In this paper, we determine the End-regular and the End-orthodox generalized lexicographic products of bipartite graphs.
Gu Rui, Hou Hailong
doaj +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
Congruences on Orthodox Semigroups [PDF]
Journal of the Australian Mathematical Society, 1971 A semigroup S is called regular if a ∈ aSa for every element a in S. The elementary properties of regular semigroups may be found in A. H. Clifford and G. B. Preston [1]. A semigroup S is called orthodox if S is regular and if the idempotents of S form a subsemigroup of S.
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Invariant semigroups of orthodox semigroups
Semigroup Forum, 1996 The paper is a continuation of a previous one of these authors [J. Algebra 169, No. 1, 49-70 (1994; Zbl 0811.06015)]. An inverse transversal of a regular semigroup \(S\) is an inverse subsemigroup \(T\) with the property that, for every \(x\in S\), \(T\) contains one and only one inverse element \(x^0\) of \(x\) in \(S\).
Blyth, T.S., Almeida-Santos, M.H.
openaire +1 more source
Flows on Classes of Regular Semigroups and Cauchy Categories
Journal of Mathematics, Volume 2019, Issue 1, 2019., 2019 We consider the structure of the flow monoid for some classes of regular semigroups (which are special case of flows on categories) and for Cauchy categories. In detail, we characterize flows for Rees matrix semigroups, rectangular bands, and full transformation semigroups and also describe the Cauchy categories for some classes of regular semigroups ...
Suha Ahmed Wazzan, Radomír Halaš
wiley +1 more source
Some orthodox monoids with associate inverse subsemigroups [PDF]
, 2011 By an associate inverse subsemigroup of a regular semigroup $S$ we mean a subsemigroup $T$ of $S$ containing a least associate of each $x \in S$, in relation to the natural partial order $\leq_S$ in $S$.
Billhardt, Bernd +3 more
core +1 more source