Open AccessOn Trio Ternary 𝚪-Semigroups
Author(s) -
M. Vasantha,
D. Madhusudhana Rao,
T Satish
Publication year - 2018
Publication title -
international journal of engineering and technology
Language(s) - English
Resource type - Journals
ISSN - 2227-524X
DOI - 10.14419/ijet.v7i3.31.18287
Subject(s) - group (periodic table) , ideal (ethics) , mathematics , combinatorics , ternary operation , commutative property , discrete mathematics , physics , computer science , philosophy , quantum mechanics , programming language , epistemology
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.