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On Trio Ternary ????-Semigroups
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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.
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