INTUITIONISTIC FUZZY CHARACTERISTIC IDEAL OF A $\Gamma$-RING

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 38

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.

.....

Download PDF 38 Click here to Subscribe now