Fuzzy semiprime ideals in -rings

Bayram Ali Ersoy

doi:10.5897/IJPS.9000268

International Journal of
Physical Sciences

Abbreviation: Int. J. Phys. Sci.
Language: English
ISSN: 1992-1950
DOI: 10.5897/IJPS
Start Year: 2006
Published Articles: 2572

Full Length Research Paper

Fuzzy semiprime ideals in Î“-rings

Bayram Ali Ersoy

Yildiz Technical University, Department of mathematics, Davutpasa Kampusu, Esenler, Istanbul, Turkey.
Email: [email protected]

Article Number - 932469C24817
Vol.5(4), pp. 308-312 , April 2010
https://doi.org/10.5897/IJPS.9000268

Accepted: 15 January 2010
Published: 30 April 2010

Copyright © 2024 Author(s) retain the copyright of this article.
This article is published under the terms of the Creative Commons Attribution License 4.0.

Abstract

In this paper, T. K. Dutta`s and S. K. Sardar`s semiprime ideal of Γ-rings as a fuzzy semiprime ideal of a Γ-rings via its operator rings was defined. Some characterizations of fuzzy semiprime ideal of Γ-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 QUOTE is fuzzy semiprime ideal of a Γ-ring M, then QUOTE is fuzzy semiprime ideal of L. Similarly, If QUOTE is fuzzy semiprime ideal of a Γ-ring L left operator semi ring M, then QUOTE is fuzzy semiprime ideal of M, Γ-ring. Lastly, it was deduced that; if QUOTE is an epimorphism of Γ-ring M, N and QUOTEis QUOTE invariant fuzzy semiprime ideal of N(M), then, QUOTE is fuzzy semiprime ideal of M(N) .