Advances in Fuzzy Mathematics
  • Year: 2007
  • Volume: 2
  • Issue: 1&2

Fuzzy prime and primary hyperideals of hyperrings

  • Author:
  • R. Ameri, N. Shafiiyan
  • Total Page Count: 17
  • Page Number: 83 to 99

Department of Mathematics, Faculty of Basic Science, University of Mazandaran, Babolsar, Iran.

*Correspondence Author: E-mail: ameri@umz.ac.ir

AMS Subject Classification:

Abstract

The purpose of this paper is the study of fuzzy prime and fuzzy primary hperideals of hyperrings. In this regards, first we introduce and study the various types of fuzzy prime hyperideals of a hyperring and then we study the basic properties of them. Also we investigate the relationship between these different types of fuzzy prime hyperideals and study their behavior under homomorphism of hyperrings. Finally, we introduce and study fuzzy primary hyperideals.

Keywords

Hyperring, fuzzy hyperideal, fuzzy prime hyperideals, fuzzy dimension, fuzzy primary hyperideals