IJPAM: Volume 89, No. 3 (2013)
ON T-FUZZY ESSENTIAL IDEALS OF RINGS
Ujwal Medhi
, Helen K. Saikia
Department of Mathematics
Girijananda Chowdhury Institute of Management and Technology
Guwahati, 781017, INDIA
Department of Mathematics
Gauhati University
Guwahati, 781014, INDIA


Girijananda Chowdhury Institute of Management and Technology
Guwahati, 781017, INDIA

Gauhati University
Guwahati, 781014, INDIA
Abstract. In this paper our attempt is to extend the notion of essential fuzzy ideals of rings to T-fuzzy essential ideals. Various properties on T-fuzzy essential ideals are established. Some results are being discussed which establish necessary and sufficient condition between T-fuzzy essential ideal in fuzzy set theory and essential ideal in crisp set theory. Moreover it is proved that if and
are non-zero T-fuzzy left ideals of
such that
, then
if and only if
.
Received: May 27, 2013
AMS Subject Classification: 03E72
Key Words and Phrases: essential fuzzy ideal, T-fuzzy essential ideal
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DOI: 10.12732/ijpam.v89i3.5 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 89
Issue: 3