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Characterizations of Hemirings by the Properties of Their <i>k</i>-Ideals

Characterizations of Hemirings by the Properties of Their <i>k</i>-Ideals
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摘要 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. 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.
出处 《Applied Mathematics》 2013年第5期753-768,共16页 应用数学(英文)
关键词 Hemiring Fuzzy k-Ideal IDEMPOTENT k-Ideals Prime IDEALS SEMIPRIME IDEALS Hemiring Fuzzy k-Ideal Idempotent k-Ideals Prime Ideals Semiprime Ideals
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