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625
Certain Regular Semigroups of Infinite Matrices
"... Abstract: Let F be a field and N the set of natural numbers. It is known that the multiplicative semigroup of all bounded N × N matrices over F is a regular semigroup. Our purpose is to consider the multiplicative semigroup U∗(F) of all column bounded upper triangular N × N matrices A over F with fo ..."
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Abstract: Let F be a field and N the set of natural numbers. It is known that the multiplicative semigroup of all bounded N × N matrices over F is a regular semigroup. Our purpose is to consider the multiplicative semigroup U∗(F) of all column bounded upper triangular N × N matrices A over F
A Generalization of Fregular Semigroups
"... A regular semigroup S is termed locally Fregular, if each class of the least completely simple congruence ξ contains a greatest element with respect to the natural partial order. It is shown that each locally Fregular semigroup S admits an embedding into a semidirect product of a band by S/ξ. Furt ..."
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A regular semigroup S is termed locally Fregular, if each class of the least completely simple congruence ξ contains a greatest element with respect to the natural partial order. It is shown that each locally Fregular semigroup S admits an embedding into a semidirect product of a band by S
The Class of Structurally Regular Semigroups
, 2005
"... A semigroup S is said to be structurally regular if there exists an ordered pair (n; m) of nonnegative integers such that the quotient S=(n; m) is regular in the usual sense. The congruence (n; m) may be dened in the following manner: (n; m) = f(a; b) : uav = ubv; 8u 2 Sn; v 2 Smg; where Sk for k ..."
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A semigroup S is said to be structurally regular if there exists an ordered pair (n; m) of nonnegative integers such that the quotient S=(n; m) is regular in the usual sense. The congruence (n; m) may be dened in the following manner: (n; m) = f(a; b) : uav = ubv; 8u 2 Sn; v 2 Smg; where Sk for k
On Free Products of Completely Regular Semigroups
, 1993
"... The free product CR S i of an arbitrary family of disjoint completely simple semigroups fS i g i2I , within the variety CR of completely regular semigroups, is described by means of a theorem generalizing that of Ka dourek and Pol'ak for free completely regular semigroups. A notable cons ..."
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Cited by 1 (1 self)
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The free product CR S i of an arbitrary family of disjoint completely simple semigroups fS i g i2I , within the variety CR of completely regular semigroups, is described by means of a theorem generalizing that of Ka dourek and Pol'ak for free completely regular semigroups. A notable
ABSTRACT PARABOLIC SYSTEMS AND REGULARIZED SEMIGROUPS
, 1998
"... The main purpose of this paper is to obtain the wellposedness of abstract parabolic systems in the sense of Petrovsij and Shilov under sharper conditions by using regularized semigroups. We also consider these systems with timedependent coefficients, and give the applications to the corresponding p ..."
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Cited by 6 (3 self)
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The main purpose of this paper is to obtain the wellposedness of abstract parabolic systems in the sense of Petrovsij and Shilov under sharper conditions by using regularized semigroups. We also consider these systems with timedependent coefficients, and give the applications to the corresponding
The Least Group Congruences on Eventually Regular Semigroups
, 2010
"... Abstract In this paper, we give a group congruence and the least group congruence on eventually regular semigroup by using weakly selfconjugate subsemigroups which are analogous to the chareaterization of a group congruence on eventually regular semigroups considered by Rao and Lakshmi ..."
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Abstract In this paper, we give a group congruence and the least group congruence on eventually regular semigroup by using weakly selfconjugate subsemigroups which are analogous to the chareaterization of a group congruence on eventually regular semigroups considered by Rao and Lakshmi
A common framework for restriction semigroups and regular ∗semigroups
 J. Pure Applied Algebra
"... a b s t r a c t Left restriction semigroups have appeared at the convergence of several flows of research, including the theories of abstract semigroups, of partial mappings, of closure operations and even in logic. For instance, they model unary semigroups of partial mappings on a set, where the u ..."
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Cited by 1 (1 self)
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of inverse semigroups, now taking a to a + = aa −1 (or, dually, to a * = a −1 a, or in the twosided version, to both). In this paper the notion of restriction semigroup is generalized to Prestriction semigroup, derived instead from reducts of regular * semigroups (semigroups with a regular involution
Regular Semigroups with Strongly Einverse Transversals
"... In this paper, we introduce a new inverse transversal Einverse transversal. We discuss some natures of the regular semigroup with Einverse transversals and strongly Einverse transversals. Furthermore this paper gives the smallest inverse semigroup congruence and the greatest idempotent separati ..."
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In this paper, we introduce a new inverse transversal Einverse transversal. We discuss some natures of the regular semigroup with Einverse transversals and strongly Einverse transversals. Furthermore this paper gives the smallest inverse semigroup congruence and the greatest idempotent
A topological approach to inverse and regular semigroups
 Pacific J. Math
, 2000
"... Work of Ehresmann and Schein shows that an inverse semigroup can be viewed as a groupoid with an order structure; this approach was generalized by Nambooripad to apply to arbitrary regular semigroups. This paper introduces the notion of an ordered 2complex and shows how to represent any ordered gro ..."
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Cited by 15 (4 self)
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Work of Ehresmann and Schein shows that an inverse semigroup can be viewed as a groupoid with an order structure; this approach was generalized by Nambooripad to apply to arbitrary regular semigroups. This paper introduces the notion of an ordered 2complex and shows how to represent any ordered
Results 11  20
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625