Fuzzy star-operations on an integral domain

نویسندگان

  • Hwankoo Kim
  • Myeong Og Kim
  • Sung-Mi Park
  • Young Soo Park
چکیده

In this paper, we introduce the concept of fuzzy star-operations on an integral domain and show that the set of all fuzzy star-operations on the integral domain forms a complete lattice. We also characterize Pr3 ufer domains, psuedo-Dedekind domains, (generalized-) greatest common divisor domains, and other integral domains in terms of the invertibility of certain fractionary fuzzy ideals. c © 2002 Elsevier Science B.V. All rights reserved.

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عنوان ژورنال:
  • Fuzzy Sets and Systems

دوره 136  شماره 

صفحات  -

تاریخ انتشار 2003