A new view of fuzzy k-ideals of hemirings

Authors:
Jianming Zhan;Yunqiang Yin
Affiliations:
Department of Mathematics, Hubei Univerity for Nationalities, Enshi, Hubei Province, China;College of Mathematics and Information Sciences, East China Institute of Technology, Fuzhou, Jiangxi, China
Venue:
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Year:
2012

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Abstract

By means of a kind of new idea, we redefine fuzzy k-ideals and fuzzy k-interior ideals of hemirings. Some new characterization theorems of these kinds of fuzzy ideals of a hemiring are also given. In particular, we show that the semiregular hemirings and semisimple hemirings can be described by using some of their generalized fuzzy k-ideals.