Results 41 to 50 of about 1,620 (232)

On fuzzy points in semigroups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2001
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
doaj   +1 more source

Proper Regular Semigroups [PDF]

open access: yesProceedings of the American Mathematical Society, 1978
In a recent paper, D. B. McAlister gave several characterizations of proper inverse semigroups. In this paper, the concept of proper is extended to the class of regular semigroups. This is done by requiring that the set of idempotents of the semigroup coincides with the kernel of the minimum group congruence on the semigroup.
openaire   +1 more source

Γ-group congruences on regular Γ-semigroups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1992
In this paper a Γ-group congruence on a regular Γ-semigroup is defined, some equivalent expressions for any Γ-group congruence on a regular Γ-semigroup and those for the least Γ-group congruence in particular are given.
A. Seth
doaj   +1 more source

An (α,β)-Hesitant Fuzzy Set Approach to Ideal Theory in Semigroups

open access: yesBulletin of the Section of Logic, 2022
The aim of this manuscript is to introduce the \((\alpha,\beta)\)-hesitant fuzzy set and apply it to semigroups. In this paper, as a generalization of the concept of hesitant fuzzy sets to semigroup theory, the concept of \((\alpha,\beta)\)-hesitant ...
Pairote Yiarayong
doaj   +1 more source

On maximal subgroups of free idempotent generated semigroups

open access: yes, 2011
We prove the following results: (1) Every group is a maximal subgroup of some free idempotent generated semigroup. (2) Every finitely presented group is a maximal subgroup of some free idempotent generated semigroup arising from a finite semigroup.
Ruskuc, N.   +5 more
core   +1 more source

SMARANDACHE SPECIAL DEFINITE ALGEBRAIC STRUCTURES [PDF]

open access: yes, 2009
Introducing the notion of Smarandache special definite algebraic structures, also called equivalently as Smarandache definite special algebraic structures.
Vasantha, Kandasamy
core   +1 more source

Adjoint regular rings

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2002
Let R be a ring. The circle operation is the operation a∘b=a+b−ab, for all a,b∈R. This operation gives rise to a semigroup called the adjoint semigroup or circle semigroup of R. We investigate rings in which the adjoint semigroup is regular. Examples are
Henry E. Heatherly, Ralph P. Tucci
doaj   +1 more source

On disjoint unions of finitely many copies of the free monogenic semigroup

open access: yes, 2013
Every semigroup which is a finite disjoint union of copies of the free monogenic semigroup (natural numbers under addition) is finitely presented and residually finite.Peer ...
Ruskuc, Nik, Abughazalah, Nabilah
core   +1 more source

Smarandache Fuzzy Algebra [PDF]

open access: yes, 2003
groupoid semi group semigroup group loop group groupoid semigroup loop semi group group ...
Vasantha, Kandasamy   +2 more
core   +1 more source

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