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- Title
ON SOME PROPERTIES OF NORMAL Г-IDEALS IN NORMAL Г-SEMIGROUPS.
- Authors
BASAR, A.; ABBASI, M. Y.
- Abstract
We introduce the concept of normal Г-ideal and bi-Г-ideal in normal Г-semigroups. We characterize the (normal) Г-semigroup and normal regular Г-semigroup in terms of elementary properties of bi-Г-ideal proving the various equivalent conditions. In particular, we establish, among the other things, that if I1,I2 are any two normal Г-ideals of a Г-semigroup S, then their product I1ГI2 and I2ГI1 are also normal Г-ideals of S and I1ГI2 = I2ГI1. Finally, we show that the minimal normal Г-ideal of a Г-semigroup S is a Г-group.
- Subjects
PROPERTY; CONCEPTS
- Publication
TWMS Journal of Applied & Engineering Mathematics, 2019, Vol 9, Issue 3, p455
- ISSN
2146-1147
- Publication type
Article