On Fuzzy semihyperrings

Aqeel Ahmed; Muhammad Aslam

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arXiv · 1304.6371

On Fuzzy semihyperrings

Aqeel Ahmed·Muhammad Aslam

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Abstract

In this article we introduce the study of fuzzy semihyperrings and fuzzy R-semihypermodules, where R is a semihyperrings and R-semihypermodules are represntations of R. In particular, semihyperrings all of whose hyperideals are idempotent, called fully idempotent semihyperrings, are investigated in a fuzzy context. It is proved, among other results, that a semihyperring R is fully idempotent if and only if the lattics of fuzzy hyperideals of R is distributive under the sum and product of fuzzy hyperideals. It is also shown that the set of proper fuzzy prime hyperideals of a fully idempotent semihyperring R admits the structure of a topological space, called the fuzzy prime spectrum of R.

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Aqeel Ahmed, Muhammad Aslam. 2013-04-22. On Fuzzy semihyperrings. https://arxiv.org/abs/1304.6371

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