• K.MUMTHA
• V.MAHALAKSHMI
• S.USHA DEVI

In this paper, with a new idea, we define quasi-ideal, K-regular and investigate some of its properties. We characterize quasi-ideal by subalgebra of near subtraction semigroup and K-regular by quasi-ideal. A characterization of quasi-ideals of near subtraction semigroup is given. In this paper we shall introduce K-regular near subtraction semigroups and obtain equivalent conditions for K-regular near subtraction semigroups using quasi-ideals. This concept motivates the study of different kinds of new ideals in algebraic graph theory especially ideals in subtraction bialgebra and fuzzy algebra.

Quasi-ideal, s-near subtraction semigroup, property (α), K- regular.

"ON QUASI-IDEALS AND K-REGULAR IN NEAR SUBTRACTION SEMIGROUPS", International Journal of Emerging Technologies and Innovative Research (www.jetir.org), ISSN:2349-5162, Vol.6, Issue 2, page no.837-842, February-2019, Available :http://www.jetir.org/papers/JETIRAB06161.pdf

"ON QUASI-IDEALS AND K-REGULAR IN 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. pp837-842, February-2019, Available at : http://www.jetir.org/papers/JETIRAB06161.pdf