FUZZY PRIME IDEALS OF A SEMIRING AND FUZZY PRIME SUB-SEMIMODULES OF A SEMIMODULE OVER A SEMIRING
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.
Year of publication: |
2006
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Authors: | AHSAN, J. ; SAIFULLAH, K. ; SHABIR, M. |
Published in: |
New Mathematics and Natural Computation (NMNC). - World Scientific Publishing Co. Pte. Ltd., ISSN 1793-7027. - Vol. 02.2006, 03, p. 219-236
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Publisher: |
World Scientific Publishing Co. Pte. Ltd. |
Subject: | Fuzzy prime ideal | fuzzy prime right deal | fuzzy prime subsemimodule | weakly regular semiring | fuzzy idempotent semiring |
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