Characterizations of hemirings by (@,@νqk)-fuzzy ideals

Authors:
Muhammad Shabir;Tahir Mahmood
Affiliations:
Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan;Department of Mathematics, International Islamic University, Islamabad, Pakistan
Venue:
Computers & Mathematics with Applications
Year:
2011

Citing 18
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Abstract

In this paper we define (@?,@?@?q"k)-fuzzy h-sub hemirings, (@?,@?@?q"k)-fuzzy h-bi-ideals,(@?,@?@?q"k)-fuzzy h-quasi-ideals. We characterize h-hemiregular and h-intra-hemiregular hemirings by the properties of their (@?,@?@?q"k)-fuzzy h-ideals, (@?,@?@?q"k)-fuzzy h-bi-idealsand (@?,@?@?q"k)-fuzzy h-quasi-ideals. Some of these characterizations are generalizations of the characterizations given in [36] [X. Ma, J. Zhan, Generalized fuzzyh-bi-ideals and h-quasi-ideals of hemirings, Inform. Sci. 179 (2009) 1249-1268].