Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
On Trio Ternary ????-Semigroups
View through CrossRef
In this paper the terms trio L-trio TΓ-ideal, La-trio TΓ-ideal, R-trio TΓ- ideal and trio TΓ- ideal of a TΓ-semi group are introduced and some examples are given. It is proved that (1) a TΓ-semi group T is a trio TΓ-semi group if and only if xΓTΓT = TΓTΓx = TΓxΓT for all x ∈ T, (2) Every trio TΓ-semi group is a duo TΓ-semi group, (3) Every commutative TΓ-semi group is a trio TΓ-semi group (4) Every quasi commutative TΓ-semi group is a trio TΓ-semi group.
Science Publishing Corporation
Title: On Trio Ternary ????-Semigroups
Description:
In this paper the terms trio L-trio TΓ-ideal, La-trio TΓ-ideal, R-trio TΓ- ideal and trio TΓ- ideal of a TΓ-semi group are introduced and some examples are given.
It is proved that (1) a TΓ-semi group T is a trio TΓ-semi group if and only if xΓTΓT = TΓTΓx = TΓxΓT for all x ∈ T, (2) Every trio TΓ-semi group is a duo TΓ-semi group, (3) Every commutative TΓ-semi group is a trio TΓ-semi group (4) Every quasi commutative TΓ-semi group is a trio TΓ-semi group.
.
Related Results
On generalized Ehresmann semigroups
On generalized Ehresmann semigroups
Abstract
As a generalization of the class of inverse semigroups, the class of Ehresmann semigroups is introduced by Lawson and investigated by many authors extensively in the liter...
Numerical semigroups : insights into minimal resolutions and wilf's conjecture
Numerical semigroups : insights into minimal resolutions and wilf's conjecture
Numerical Semigroups appear across many areas of mathematics, including algebraic geometry, convex geometry, number theory, integer programming, and even music theory. They are ver...
Generated Fuzzy Quasi-ideals in Ternary Semigroups
Generated Fuzzy Quasi-ideals in Ternary Semigroups
Here in this paper, we provide characterizations of fuzzy quasi-ideal in terms of level and strong level subsets. Along with it, we provide expression for the generated fuzzy quasi...
Associative Ternary Algebras and Ternary Lie Algebras at Cube Roots of Unity
Associative Ternary Algebras and Ternary Lie Algebras at Cube Roots of Unity
We propose an approach to extending the concept of a Lie algebra to ternary structures based on ω-symmetry, where ω is a primitive cube root of unity. We give a definition of a cor...
Associative Ternary Algebras and Ternary Lie Algebras at Cube Roots of Unity
Associative Ternary Algebras and Ternary Lie Algebras at Cube Roots of Unity
We propose an approach to extend the concept of a Lie algebra to ternary structures based on ω-symmetry, where ω is a primitive cube root of unity. We give a definition of a corres...
Positive Desch-Schappacher perturbations of bi-continuous semigroups on AM-spaces
Positive Desch-Schappacher perturbations of bi-continuous semigroups on AM-spaces
We consider positive Desch–Schappacher perturbations of bi-continuous semigroups on AM-spaces with an additional property concerning the additional locally convex topology. As an e...
Numerical Semigroups That Are Not Intersections ofd-Squashed Semigroups
Numerical Semigroups That Are Not Intersections ofd-Squashed Semigroups
AbstractWe say that a numerical semigroup isd-squashedif it can be written in the formforN,a1, … ,adpositive integers with gcd(a1, … ,ad) = 1. Rosales and Urbano have shown that a ...
The Nature of Man and Educational Administration: a Ternary Function
The Nature of Man and Educational Administration: a Ternary Function
Problem. There appears to be a growing uneasiness with much of current educational administrative theory and practice. It is hypothesized that this is largely due to inadequacies o...