Tri-Quasi Ideals of Γ-Semirings
Discussiones Mathematicae. General Algebra and Applications, Tome 41 (2021) no. 1, pp. 33-44
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In this paper, as a further generalization of ideals, we introduce the notion of tri-quasi ideal as a generalization of ideal, left ideal, right ideal, bi-ideal, quasi ideal, interior ideal, bi-interior ideal, weak interior ideal, bi-quasi ideal, tri-ideal, quasi-interior ideal and bi-quasi-interior ideal of Γ-semiring. Some charecterizations of Γ-semiring,regular Γ-semiring and simple Γ-semiring using tri-quasi ideals are given and study the properties of tri-quasi ideals of Γ-semiring.
Keywords:
bi-quasi-interior ideal, bi-interior ideal, bi-quasi ideal, bi-ideal, quasi ideal, interior ideal, regular Γ-semiring, tri-quasi simple Γ-semiring
@article{DMGAA_2021_41_1_a3,
author = {Rao, Marapureddy Murali Krishna},
title = {Tri-Quasi {Ideals} of {\ensuremath{\Gamma}-Semirings}},
journal = {Discussiones Mathematicae. General Algebra and Applications},
pages = {33--44},
publisher = {mathdoc},
volume = {41},
number = {1},
year = {2021},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMGAA_2021_41_1_a3/}
}
Rao, Marapureddy Murali Krishna. Tri-Quasi Ideals of Γ-Semirings. Discussiones Mathematicae. General Algebra and Applications, Tome 41 (2021) no. 1, pp. 33-44. http://geodesic.mathdoc.fr/item/DMGAA_2021_41_1_a3/