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 language | English (US) |
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Pages (from-to) | 245-251 |
Number of pages | 7 |
Journal | Fuzzy Sets and Systems |
Volume | 45 |
Issue number | 2 |
DOIs | |
State | Published - Jan 24 1992 |
All Science Journal Classification (ASJC) codes
- Logic
- Artificial Intelligence