• P. Meenakshi
• N. Meenakumari

Schein, B. M [9] introduced the set theoretic subtraction ‘-‘ which is analogous to subtraction algebra and it is developed by Abbott, J. C.[1], Zelinka,B.[12] discussed the problem of Schein [9] relating the structure of multiplication in a subtraction semigroup. Kim, K. H [5]et. al. studied an ideal of a subtraction semigroup. Dheena, P.[3] and his colleagues defined the concept of near-subtraction semigroups and discussed their properties. Alandkar, S.J[2] gave the definition of Г-near subtraction semigroup and some of its properties. In this paper, using the concept of bi-ideals in near subtraction semigroups, we introduce the notion of bi-ideals in Г-near subtraction semigroups. We show that the set of all bi-ideals of a Г-near subtraction semigroup form a moore system. Also we proved that the intersection of a bi-ideals of Г-near subtraction semigroup and sub-Г-near subtraction semigroup is again a bi-ideal of X. Throughout this paper, by a - near subtraction semigroup X, we mean a zero symmetric -near subtraction semigroup.

Quasi ideals, bi-ideal, Г-near subtraction semigroup.

"Bi-ideals of Г- near subtraction semigroups", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 2, page no.448-451, February-2019, Available :http://www.jetir.org/papers/JETIRAB06077.pdf

"Bi-ideals of Г- near subtraction semigroups", International Journal of Emerging Technologies and Innovative Research (www.jetir.org | UGC and issn Approved), ISSN:2349-5162, Vol.6, Issue 2, page no. pp448-451, February-2019, Available at : http://www.jetir.org/papers/JETIRAB06077.pdf