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Neural Computing and Applications

, Volume 19, Issue 3, pp 477–485 | Cite as

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

  • Xueling Ma
  • Jianming Zhan
Original Article

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.

Keywords

(h-hemiregular, h-semisimple) \(\Upgamma\)-hemiring h-(h-bi-, h-quasi-, h-interior) ideal Prime fuzzy h-ideals Fuzzy (h-, h-bi-, h-quasi-, h-interior) ideal 

Notes

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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Copyright information

© Springer-Verlag London Limited 2010

Authors and Affiliations

  1. 1.Department of MathematisHubei Institute for NationalitiesEnshiChina

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