Fuzzy semiprime ideals in Γ-rings

Abstract

In this paper, T. K. Dutta's and S. K. Sardar's semiprime ideal of Gamma-rings as a fuzzy semiprime ideal of a Gamma-rings via its operator rings was defined. Some characterizations of fuzzy semiprime ideal of Gamma-rings was obtained. That is; a characterization prove of a fuzzy semiprime ideal, the relationship between fuzzy semiprime ideal and fuzzy prime ideal was obtained. If mu is fuzzy semiprime ideal of a Gamma-ring M, then mu(+) is fuzzy semiprime ideal of L. Similarly, If mu is fuzzy semiprime ideal of a Gamma-ring L left operator semi ring M, then mu* is fuzzy semiprime ideal of M, Gamma-ring. Lastly, it was deduced that; if f:M -> N is an epimorphism of Gamma-ring M, N and mu is f invariant fuzzy semiprime ideal of N(M), then, f(-1)(mu)((f(mu)) is fuzzy semiprime ideal of M(N).