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- Regular Semigroups

by Xiaoqiang Luo
"... Abstracts -regulur semigroups are promotion of -regular semigroups. In the paper we show that a semigroup with some characterizations is - regular, futhermore it is completely -regular 1 ..."
Abstract - Cited by 1 (0 self) - Add to MetaCart
Abstracts -regulur semigroups are promotion of -regular semigroups. In the paper we show that a semigroup with some characterizations is - regular, futhermore it is completely -regular 1

Characterizations of Regular Semigroups

by Bingxue Yao , 2014
"... Abstract: The concepts of (λ, µ)−fuzzy subsemigroup and various (λ, µ)−fuzzy ideals of a semigroup were introduced by generalizing (∈,∈∨q)−fuzzy subsemigroup and (∈,∈∨q)−fuzzy ideal. The regular semigroup was characterized by the properties of the middle parts of various (λ, µ)−fuzzy ideals, and sev ..."
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Abstract: The concepts of (λ, µ)−fuzzy subsemigroup and various (λ, µ)−fuzzy ideals of a semigroup were introduced by generalizing (∈,∈∨q)−fuzzy subsemigroup and (∈,∈∨q)−fuzzy ideal. The regular semigroup was characterized by the properties of the middle parts of various (λ, µ)−fuzzy ideals

PARTIAL ORDERS IN REGULAR SEMIGROUPS

by K. V. R. Srinivas, Antofagasta Chile, K. V. R. Srinivas, Y. L. Anasuya , 2010
"... First we have obtained equivalent conditions for a regular semi-group and is equivalent to N = N1 It is observed that every regular semigroup is weakly separative and C ⊆ S and on a completely reg-ular semigroup S ⊆ N and S is partial order. It is also obtained that a band (S,.) is normal iff C = N. ..."
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First we have obtained equivalent conditions for a regular semi-group and is equivalent to N = N1 It is observed that every regular semigroup is weakly separative and C ⊆ S and on a completely reg-ular semigroup S ⊆ N and S is partial order. It is also obtained that a band (S,.) is normal iff C = N

Regular Semigroups with Inverse Transversals

by Junwei Shi, Zhenji Tian
"... In this paper, a structure theorem is obtained by a permissible dou-ble (R,Λ) which is about regular semigroup with inverse transversals. It improves a structure theorem which is obtained by McAlister and McFadden about regular semigroup with inverse transversals. Fur-thermore, we give some properti ..."
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In this paper, a structure theorem is obtained by a permissible dou-ble (R,Λ) which is about regular semigroup with inverse transversals. It improves a structure theorem which is obtained by McAlister and McFadden about regular semigroup with inverse transversals. Fur-thermore, we give some

Identities of Regular Semigroup Rings

by Haixuan Yang , 1998
"... The author proves that, if S is an FIC-semigroup or a completely regular semigroup, and if RS is a ring with identity, then R<E(S)> is a ring with identity. ..."
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The author proves that, if S is an FIC-semigroup or a completely regular semigroup, and if RS is a ring with identity, then R<E(S)> is a ring with identity.

Flows on Regular Semigroups

by N.D. Gilbert
"... We study the structure of the flow monoid of a regular semigroup. This arises from the approach of Nambooripad of considering a regular semigroup as a groupoid -- a category in which every morphism is invertible. A flow is then a section to the source map in this groupoid, and the monoid structure o ..."
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We study the structure of the flow monoid of a regular semigroup. This arises from the approach of Nambooripad of considering a regular semigroup as a groupoid -- a category in which every morphism is invertible. A flow is then a section to the source map in this groupoid, and the monoid structure

OF COMPLETELY REGULAR SEMIGROUPS

by Jorge Almeida, Alfredo Costa
"... Abstract: This note shows that, even though a paper of Almeida and Trotter on completely regular semigroups makes use of free profinite semigroupoids over profinite graphs with infinitely many vertices, which has since been shown to be a structure that in general needs to be handled with great care, ..."
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Abstract: This note shows that, even though a paper of Almeida and Trotter on completely regular semigroups makes use of free profinite semigroupoids over profinite graphs with infinitely many vertices, which has since been shown to be a structure that in general needs to be handled with great care

Semidirect Products of Regular Semigroups

by Peter R. Jones, Peter G. Trotter - Trans. Amer. Math. Soc , 1999
"... Within the usual semidirect product S T of regular semigroups S and T lies the set Reg (S T ) of its regular elements. Whenever S or T is completely simple, Reg (S T ) is a (regular) subsemigroup. It is this `product' that is the theme of the paper. It is best studied within the framework ..."
Abstract - Cited by 4 (4 self) - Add to MetaCart
Within the usual semidirect product S T of regular semigroups S and T lies the set Reg (S T ) of its regular elements. Whenever S or T is completely simple, Reg (S T ) is a (regular) subsemigroup. It is this `product' that is the theme of the paper. It is best studied within

INVERSION FORMULA FOR C-REGULARIZED SEMIGROUPS

by Young S. Lee
"... Abstract. In this paper, we establish an inversion formula for ex-ponentially bounded C-regularized semigroup. 1. ..."
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Abstract. In this paper, we establish an inversion formula for ex-ponentially bounded C-regularized semigroup. 1.

IDEMPOTENT-SEPARATING EXTENSIONS OF REGULAR SEMIGROUPS

by A. Tamilarasi , 2004
"... ForaregularbiorderedsetE, the notion of E-diagram and the associated regular semigroup was introduced in our previous paper (1995). Given a regular biordered set E, an E-diagram in a category C is a collection of objects, indexed by the elements of E and morphisms of C satisfying certain compatibili ..."
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ForaregularbiorderedsetE, the notion of E-diagram and the associated regular semigroup was introduced in our previous paper (1995). Given a regular biordered set E, an E-diagram in a category C is a collection of objects, indexed by the elements of E and morphisms of C satisfying certain
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