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Fuzzy h-ideals in h-hemiregular and h-semisimple \(\Upgamma\)-hemirings

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Abstract

In this paper, we introduce the concepts of some kinds of fuzzy h-ideals in \(\Upgamma\)-hemirings and obtain some of their related properties. In particular, the characterizations of prime fuzzy h-ideals in \(\Upgamma\)-hemirings are discussed. Finally, we show that the h-hemiregular and h-semisimple \(\Upgamma\)-hemirings can be described by using these kinds of fuzzy h-ideals.

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Acknowledgments

This research of the first author is partially supported by a grant of National Natural Science Foundation of China # 60875034; a grant of the Natural Science Foundation of Education Committee of Hubei Province, China, # D20092901; # Q20092907; # D20082903 and # B200529001 and also a grant of the Natural Science Foundation of Hubei Province, China # 2008CDB341; # 2009CDB340.

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Authors and Affiliations

  1. Department of Mathematis, Hubei Institute for Nationalities, 445000, Enshi, Hubei, China

    Xueling Ma & Jianming Zhan

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  1. Xueling Ma
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  2. Jianming Zhan
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Correspondence to Jianming Zhan.

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Ma, X., Zhan, J. Fuzzy h-ideals in h-hemiregular and h-semisimple \(\Upgamma\)-hemirings. Neural Comput & Applic 19, 477–485 (2010). https://doi.org/10.1007/s00521-010-0341-4

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  • DOI: https://doi.org/10.1007/s00521-010-0341-4

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