Characterizations of Hemirings by the Properties of Their k-Ideals

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DOI: 10.4236/am.2013.45104    4,173 Downloads   6,889 Views  Citations

ABSTRACT

In this paper we characterize those hemirings for which each k-ideal is idempotent. We also characterize those hemirings for which each fuzzy k-ideal is idempotent. The space of prime k-ideals (fuzzy k-prime k-ideals) is topologized.

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M. Shabir and R. Anjum, "Characterizations of Hemirings by the Properties of Their k-Ideals," Applied Mathematics, Vol. 4 No. 5, 2013, pp. 753-768. doi: 10.4236/am.2013.45104.

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