Extensions of fuzzy subrings and fuzzy ideals

D. S. Malik, John N. Mordeson

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

In this paper we give necessary and sufficient conditions for a fuzzy subring or a fuzzy ideal A of a commutative ring R to be extended to one Ae of a commutative ring S containing R as a subring such that A and Ae have the same image. One of the applications of these results gives a criterion for a fuzzy subring of an integral domain R to be extendable to a fuzzy subfield of the quotient field of R.

Original languageEnglish (US)
Pages (from-to)245-251
Number of pages7
JournalFuzzy Sets and Systems
Volume45
Issue number2
DOIs
StatePublished - Jan 24 1992

All Science Journal Classification (ASJC) codes

  • Logic
  • Artificial Intelligence

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