Results 11 to 20 of about 1,070,702 (215)

Beyond Regular Semigroups [PDF]

open access: yes, 2012
The topic of this thesis is the class of weakly U-abundant semigroups. This class is very wide, containing inverse, orthodox, regular, ample, adequate, quasi-adequate, concordant, abundant, restriction, Ehresmann and weakly abundant semigroups.
Wang, Yanhui
core   +6 more sources

THE LEFT REGULAR REPRESENTATION OF A COMMUTATIVE SEPARATIVE SEMIGROUP [PDF]

open access: yesJournal of Sciences, Islamic Republic of Iran, 1992
In this paper, a commutative semigroup will be written as a disjoint union of its cancellative subsemigroups. Based on this fact we will define the left regular representation of a commutative separative semigroup and show that this representation is ...
doaj   +1 more source

Idempotent-Aided Factorizations of Regular Elements of a Semigroup

open access: yesMathematics
In the present paper, we introduce the concept of idempotent-aided factorization (I.-A. factorization) of a regular element of a semigroup, which can be understood as a semigroup-theoretical extension of full-rank factorization of matrices over a field ...
Miroslav Ćirić   +2 more
doaj   +2 more sources

On maximal subgroups of free idempotent generated semigroups [PDF]

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.   +6 more
core   +1 more source

New Properties of Anti Fuzzy Ideals of Regular Semigroups

open access: yesIbn Al-Haitham Journal for Pure and Applied Sciences, 2019
In this article, we study some properties of anti-fuzzy sub-semigroup, anti fuzzy left (right, two sided) ideal, anti fuzzy ideal, anti fuzzy generalized bi-ideal, anti fuzzy interior ideals and anti fuzzy two sided ideal of regular semigroup.
Samah H. Asaad, Akram S. Mohammed
doaj   +1 more source

Idempotent-separating extensions of regular semigroups

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2005
For a regular biordered set E, 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 ...
A. Tamilarasi
doaj   +1 more source

Smarandache U-liberal semigroup structure [PDF]

open access: yes, 2009
In this paper, Smarandache U-liberal semigroup structure is given. It is shown that a semigroup S is Smarandache U-liberal semigroup if and only if it is a strong semilattice of some rectangular monoids. Consequently, some corresponding results on normal
Chen, Yizhi
core   +1 more source

Semigroup of k-bi-Ideals of a Semiring with Semilattice Additive Reduct

open access: yesDemonstratio Mathematica, 2016
We associate a semigroup B(S) to every semiring S with semilattice additive reduct, namely the semigroup of all k-bi-ideals of S; and such semirings S have been characterized by this associated semigroup B(S). A semiring S is k-regular if and only if B(S)
Bhuniya A. K., Jana K.
doaj   +1 more source

On Regular Semigroups and Their Multiplication [PDF]

open access: yesTransactions of the American Mathematical Society, 1974
A method is given for the construction of regular semigroups in terms of groups and partially ordered sets. This describes any regular semigroup S and its multiplication by means of triples
openaire   +2 more sources

On disjoint unions of finitely many copies of the free monogenic semigroup [PDF]

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   +2 more
core   +1 more source

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