Results 21 to 30 of about 24,434 (204)
Regularity and Green's Relations on a Semigroup of Transformations with Restricted Range
Let T(X) be the full transformation semigroup on the set X and let T(X,Y)={α∈T(X):Xα⊆Y}. Then T(X,Y) is a sub-semigroup of T(X) determined by a nonempty subset Y of X.
Jintana Sanwong, Worachead Sommanee
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On varieties of regular $*$-semigroups [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A regular semigroup \(S\) is called \(F\)-regular if there exists a group congruence \(\rho\) on \(S\) such that every \(\rho\)-class contains a greatest element with respect to the natural partial order on \(S\). Continuing many investigations of \(F\)-regular semigroups, the authors characterize them and give a new representation of such semigroups ...
Smith, M. Paula Marques +2 more
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Regularity of Po-Γ-semigroups in Terms of Fuzzy Subsemigroups and Fuzzy Bi-ideals
In this paper, the notions of fuzzy subsemigroups and fuzzy bi-ideals of a po-Γ-semigroup are introduced with some of their important properties investigated. We obtain some characterizations of regular, intra-regular po-Γ-semigroups in terms of fuzzy bi-
Pavel Pal +3 more
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Commutative Topological Semigroups Embedded into Topological Abelian Groups
In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group.
Julio César Hernández Arzusa
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Bi-Interior Ideals of Semigroups
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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GENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS [PDF]
For all M,N∈P(U) such that M⊂N, we first introduced the definitions of (M,N)-uni-soft ideals and (M,N)-uni-soft interior ideals of an ordered semigroup and studied them. When M=∅ and N=U, we meet the ordinary soft ones. Then we proved that in regular and
R. Khan, A. Khan, B. Ahmad, R. Gul
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Syntactic Complexity of R- and J-Trivial Regular Languages [PDF]
The syntactic complexity of a regular language is the cardinality of its syntactic semigroup. The syntactic complexity of a subclass of the class of regular languages is the maximal syntactic complexity of languages in that class, taken as a function of ...
BAIYU LI +7 more
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On regularity preservation in a semigroup [PDF]
We consider certain subsets of a semigroupS, defined mainly by conditions involving regularity preservation. In particular, theregular baseB(S) ofSmay be regarded as a generalisation of the zero ideal in a semigroup with zero; if it non-empty thenSisE-inversive. The other subsets considered are related in a natural way either to B(S) or to the set RP(S)
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We consider the semigroup S¯ of the fuzzy points of a semigroup S, and discuss the relation between the fuzzy interior ideals and the subsets of S¯ in an (intra-regular) semigroup S.
Kyung Ho Kim
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