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Orthocryptic rpp Semigroups
, 2009
"... A strongly rpp semigroup S is called orthocryptic rpp semigroup if (1) the set of idempotents forms a band; and (2) the relation H(†) is a congruence. Some characterizations of orthodox cryptic rpp semigroups are obtained. In particular, it is proved that a semigroup is a orthocryptic rpp semigroup ..."
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A strongly rpp semigroup S is called orthocryptic rpp semigroup if (1) the set of idempotents forms a band; and (2) the relation H(†) is a congruence. Some characterizations of orthodox cryptic rpp semigroups are obtained. In particular, it is proved that a semigroup is a orthocryptic rpp semigroup
The Structure of frpp Semigroups
, 2007
"... Frpp semigroups are initially researched by GuoLiShum (see, International Mathematical Forum, 1(2006), p. 15711585). They introduced the concept of SFRsystems and established the structure of a class of Frpp semigroups, namely, strongly Frpp semigroups. In this paper we define FRsystems by ..."
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Frpp semigroups are initially researched by GuoLiShum (see, International Mathematical Forum, 1(2006), p. 15711585). They introduced the concept of SFRsystems and established the structure of a class of Frpp semigroups, namely, strongly Frpp semigroups. In this paper we define FR
The ΔProduct Structure of Right Cqrpp Semigroups
"... As an analogue of right Crpp semigroups and a dual of left Cwrpp semigroups, right Cqrpp semigroups were defined and investigated by RaoGuo [10]. In this paper, we continue the research of such semigroups and obtain a structure of right Cqrpp semigroups. It is proved that a semigroup is a right ..."
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As an analogue of right Crpp semigroups and a dual of left Cwrpp semigroups, right Cqrpp semigroups were defined and investigated by RaoGuo [10]. In this paper, we continue the research of such semigroups and obtain a structure of right Cqrpp semigroups. It is proved that a semigroup is a
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"... It is well known that the rpp semigroups are generalized regular semigroups. In order to further investigate the structure of rpp semigroups, we introduce the type(I,L∗) factorizable monoids. In this paper, we study such factorizable rpp monoids admitting a left univocal type(I,L∗) factorization ..."
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It is well known that the rpp semigroups are generalized regular semigroups. In order to further investigate the structure of rpp semigroups, we introduce the type(I,L∗) factorizable monoids. In this paper, we study such factorizable rpp monoids admitting a left univocal type
A Structure Theorem for Right1 Adequate Semigroups of Type F
"... A right adequate semigroup of type F means a right adequate semigroup which is an Frpp semigroup. We obtain the structure theorem for right adequate semigroups: a semigroup is a right adequate semigroup of type F if and only if it is isomorphic to some F(M,Y), where (M,Y) is an Fpair. As its app ..."
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A right adequate semigroup of type F means a right adequate semigroup which is an Frpp semigroup. We obtain the structure theorem for right adequate semigroups: a semigroup is a right adequate semigroup of type F if and only if it is isomorphic to some F(M,Y), where (M,Y) is an Fpair. As its
The Structure of Weakly Left Cwrpp
"... Abstract—In this paper, the class of weakly left Cwrpp semigroups which includes the class of weakly left Crpp semigroups as a subclass is introduced. To particularly show that the spined product of a left Cwrpp semigroup and a right normal band which is a weakly left Cwrpp semifroup by virtue o ..."
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Abstract—In this paper, the class of weakly left Cwrpp semigroups which includes the class of weakly left Crpp semigroups as a subclass is introduced. To particularly show that the spined product of a left Cwrpp semigroup and a right normal band which is a weakly left Cwrpp semifroup by virtue
Smarandache ν−Connected spaces
"... Abstract In this paper Smarandache ν−connectedness and Smarandache locally ν−connectedness in topological space are introduced, obtained some of its basic properties and interrelations are verified with other types of connectedness. ..."
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Abstract In this paper Smarandache ν−connectedness and Smarandache locally ν−connectedness in topological space are introduced, obtained some of its basic properties and interrelations are verified with other types of connectedness.
A New Structure Theorem of Left Cwrpp Semigroups
, 2007
"... Abstract Semispined product structure of a left Cwrpp semigroup has been recently described by Du and Shum. In this paper, we will introduce a new concept,namely the left cross product of semigroups and establish a new structure theorem for the left Cwrpp semigroup by using left cross product. I ..."
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. It is shown that a semigroup S is a left Cwrpp semigroup if and only if S can be expressed as a left cross product of a left regular band I and an Cwrpp semigroup M which is a strong semilattice of left Rcancellative monoids.This theorem generalizes the classical structure theorem of Crpp monoids obtained