FUZZY PRIME IDEALS OF A SEMIRING AND FUZZY PRIME SUB-SEMIMODULES OF A SEMIMODULE OVER A SEMIRING

J. Ahsan (), K. Saifullah () and M. Shabir ()
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J. Ahsan: Department of Mathematics, Faculty of Applied Sciences, International Islamic University, Islamabad, Pakistan
K. Saifullah: Department of Mathematical Sciences, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia
M. Shabir: Department of Mathematics, Quid-i-Azam University, Islamabad, Pakistan

New Mathematics and Natural Computation (NMNC), 2006, vol. 02, issue 03, 219-236

Abstract: In this paper we define fuzzy prime right ideals and fuzzy prime subsemimodules of a right R-semimodule. We characterize those semirings for which each fuzzy ideal is prime and those semirings for which each fuzzy right ideal is prime.

Keywords: Fuzzy prime ideal; fuzzy prime right deal; fuzzy prime subsemimodule; weakly regular semiring; fuzzy idempotent semiring (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1142/S1793005706000476

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