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

16 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

Fingerprint

All Science Journal Classification (ASJC) codes

Logic
Artificial Intelligence

Cite this

Malik, D. S., & Mordeson, J. N. (1992). Extensions of fuzzy subrings and fuzzy ideals. Fuzzy Sets and Systems, 45(2), 245-251. https://doi.org/10.1016/0165-0114(92)90125-N

@article{54a0d1e7e218423599a518eb315813dc,

title = "Extensions of fuzzy subrings and fuzzy ideals",

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.",

author = "Malik, {D. S.} and Mordeson, {John N.}",

year = "1992",

month = jan

day = "24",

doi = "10.1016/0165-0114(92)90125-N",

language = "English (US)",

volume = "45",

pages = "245--251",

journal = "Fuzzy Sets and Systems",

issn = "0165-0114",

publisher = "Elsevier",

number = "2",

}

TY - JOUR

T1 - Extensions of fuzzy subrings and fuzzy ideals

AU - Malik, D. S.

AU - Mordeson, John N.

PY - 1992/1/24

Y1 - 1992/1/24

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.

UR - http://www.scopus.com/inward/record.url?scp=38249014107&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38249014107&partnerID=8YFLogxK

U2 - 10.1016/0165-0114(92)90125-N

DO - 10.1016/0165-0114(92)90125-N

M3 - Article

AN - SCOPUS:38249014107

VL - 45

SP - 245

EP - 251

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

SN - 0165-0114

IS - 2

ER -

Access to Document

10.1016/0165-0114(92)90125-N