Some properties of fuzzy quasi ideals in ternary semigroups

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International Journal of Development Research

Volume: 
7
Article ID: 
11204
7 pages
Research Article

Some properties of fuzzy quasi ideals in ternary semigroups

Dr. Nagi Reddy, U., Meena Kumari, C. and Dr. Shobhalatha, G.

Received 20th September, 2017; Received in revised form 12th October, 2017; Accepted 27th November, 2017; Published online 29th December, 2017

Copyright ©2017, Nagi Reddy et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract: 

D.H. Lehmer introduced the theory of ternary algebraic system in 1932 and iIn 1965, F.M. Sioson studied ideal theory in ternary semigroups. In this paper we proved some properties of fuzzy quasi ideals in ternary semigroups. It is prove that “A non-empty subset A of a ternary semigroup T is a quasi ideal in T if and only if the characteristic function CA of is a fuzzy quasi ideal in T ” .

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