INTUITIONISTIC FUZZY CHARACTERISTIC IDEAL OF A $\Gamma$-RING
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 212
DOI:
Author :
P. K. Sharma (Post- Graduate Department of Mathematics, D. A. V. College, Jalandhar - 144008, Punjab, INDIA)
Hem Lata (Lovely Professional University, Phagwara - 144001, Punjab, INDIA)
Abstract
In this paper, we define the notion of intuitionistic fuzzy characteristic ideal (IFCI) of a $\Gamma$-ring which is analogue of a characteristic ideal in the ordinary ring theory and derive various new results. The correlation between the set of all automorphisms of $\Gamma$-ring and the corresponding automorphisms of its operator rings have been innovated. Then a one to one correlation between the set of all intuitionistic fuzzy characteristic ideals of $\Gamma$-ring and that of its operator ring has been constituted. This is used to obtain a similar bijection for characteristic ideals.
Keywords and Phrases
$\Gamma$-ring, Intuitionistic fuzzy characteristic ideal, $\Gamma$-Automorphism.
A.M.S. subject classification
03F55, 16D25, 08A72, 03G25.
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