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Characterizations of Hemirings by the Properties of Their *k*-Ideals

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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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The authors declare no conflicts of interest.

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*k*-Ideals,"

*Applied Mathematics*, Vol. 4 No. 5, 2013, pp. 753-768. doi: 10.4236/am.2013.45104.

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