Results 31 to 40 of about 1,010,344 (260)

NEUTROSOPHIC RINGS [PDF]

open access: yes, 2006
In this book we define the new notion of neutrosophic rings. The motivation for this study is two-fold. Firstly, the classes of neutrosophic rings defined in this book are generalization of the two well-known classes of rings: group rings and semigroup ...
Vasantha, Kandasamy   +2 more
core   +1 more source

Bi-Interior Ideals of Semigroups

open access: yesDiscussiones Mathematicae - General Algebra and Applications, 2018
In this paper, as a further generalization of ideals, we introduce the notion of bi-interior ideal as a generalization of quasi ideal, bi-ideal and interior ideal of semigroup and study the properties of bi-interior ideals of semigroup, simple semigroup ...
Rao M. Murali Krishna
doaj   +1 more source

Commutative Topological Semigroups Embedded into Topological Abelian Groups

open access: yesAxioms, 2020
In this paper, we give conditions under which a commutative topological semigroup can be embedded algebraically and topologically into a compact topological Abelian group.
Julio César Hernández Arzusa
doaj   +1 more source

GENERALIZED UNI-SOFT INTERIOR IDEALS IN ORDERED SEMIGROUPS [PDF]

open access: yesJournal of Algebraic Systems, 2019
For all M,N∈P(U) such that M⊂N, we first introduced the definitions of (M,N)-uni-soft ideals and (M,N)-uni-soft interior ideals of an ordered semigroup and studied them. When M=∅ and N=U, we meet the ordinary soft ones. Then we proved that in regular and
R. Khan, A. Khan, B. Ahmad, R. Gul
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

Maximal subgroups of free idempotent-generated semigroups over the full transformation monoid [PDF]

open access: yes, 2011
Let Tn be the full transformation semigroup of all mappings from the set {1, . . . , n} to itself under composition. Let E = E(Tn) denote the set of idempotents of Tn and let e ∈ E be an arbitrary idempotent satisfying |im (e)| = r ≤ n − 2. We prove that
Ruskuc, N.   +3 more
core   +1 more source

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

On generators, relations and D-simplicity of direct products, Byleen extensions, and other semigroup constructions [PDF]

open access: yes, 2015
In this thesis we study two different topics, both in the context of semigroup constructions. The first is the investigation of an embedding problem, specifically the problem of whether it is possible to embed any given finitely presentable semigroup ...
Baynes, Samuel
core   +2 more sources

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

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