Extensions of fuzzy subrings and fuzzy ideals

D. S. Malik; John N. Mordeson

doi:10.1016/0165-0114(92)90125-N

Extensions of fuzzy subrings and fuzzy ideals

D. S. Malik, John N. Mordeson

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

19 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 A^e of a commutative ring S containing R as a subring such that A and A^e 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)
Pages (from-to)	245-251
Number of pages	7
Journal	Fuzzy Sets and Systems
Volume	45
Issue number	2
DOIs	https://doi.org/10.1016/0165-0114(92)90125-N
State	Published - Jan 24 1992

All Science Journal Classification (ASJC) codes

Logic
Artificial Intelligence

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10.1016/0165-0114(92)90125-N

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AU - Mordeson, John N.

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N2 - 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.

AB - 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.

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JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

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ER -

Extensions of fuzzy subrings and fuzzy ideals

Abstract

All Science Journal Classification (ASJC) codes

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