The characterizations of h-hemiregular hemirings and h-intra-hemiregular hemirings

  • Authors:

  • Yunqiang Yin;Hongxing Li

  • Affiliations:

  • School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China;School of Electronic and Information Engineering, Dalian University of Technology, Dalian 116024, China

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2008

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Abstract

In this paper, the concepts of fuzzy h-bi-ideals and fuzzy h-quasi-ideals of a hemiring are introduced, and related properties are investigated. The notion of h-intra-hemiregularity of a hemiring, which is a generalization of the notion of intra-regularity of a ring, is provided. Some characterizations of h-hemiregular hemirings, h-intra-hemiregular hemirings and hemirings that are both h-hemiregular and h-intra-hemiregular are derived in terms of fuzzy left, fuzzy right h-ideals, fuzzy h-bi-ideals and fuzzy h-quasi-ideals.