On Fuzzy Weakly Completely Prime Ideal in Γ -Semigroups
Abstract
In this paper the notion of fuzzy weakly completely prime ideal in Γ -semigroups has been introduced. Finally, the concept of operator semigroups of a Γ -semigroup has been employed to study the relationship between their respective fuzzy weakly completely prime ideals.
Keywords
References
- [1] Howie J.M., 1995. Fundamentals of semigroup theory, London Mathematical Society Monographs. New Series, 12. Oxford Science Publications. The Clarendon Press, Oxford University Press, New York. p.319.
- [2] Sen M.K., 1981. On Γ -semigroups, Proceedings of the International conference on Algebra and its application. Decker Publication, New York, p.301.
- [3] Sen M.K., Saha N.K, 1986. On Γ -semigroups I, Bulletin of Calcutta Mathematical Society, 78, 180-186.
- [4] Saha N.K., 1987. On Γ -semigroup II, Bulletin of Calcutta Mathematical Society, 79, 331-335.
- [5] Chattopadhyay S., 2001. Right inverse Γ -semigroup. Bulletin of Calcutta Mathematical Society, 93, 435- 442.
- [6] Chattopadhyay S., 2005. Right orthodox Γ -semigroup, Southeast Asian Bulletin of Mathematics, 29, 23- 30.
- [7] Dutta T.K., Adhikari N.C., 1993. On Γ -semigroup with the right and left unities, Soochow Journal of Mathematics, 19 (4): 461-474.
- [8] Dutta T.K., Adhikari N.C., 1994. On prime radical of Γ -semigroup, Bulletin of Calcutta Mathematical Society, 86 (5): 437-444.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Authors
Samit Majumder
This is me
Publication Date
November 11, 2010
Submission Date
November 11, 2010
Acceptance Date
-
Published in Issue
Year 2010 Volume: 5 Number: 2