Intuitionistic Fuzzy Normal subrings over a non-associative ring

Abstract

N. Palaniappan et. al [20,28] have investigated the concept of intuitionistic fuzzy normal subrings in associative rings. In this study we extend these notions for a class of non-associative rings.

Direct Product of Finite Fuzzy Normal Subrings Over Non-Associative Rings

“….., A n are LA-subrings of LA-rings R 1 , R 2 , ..., R n , respectively, then A 1 ×A 2 ×...×A n is an LA-subring of an LA-ring R 1 × R 2 × ... × R n under the same operations defined as in [21].…”

“…Kausar et al [21] initiated the idea of intuitionistic fuzzy normal subrings over a non-associative ring and also characterized the non-associative rings by their intuitionistic fuzzy bi-ideals in [7]. Recently Kausar [9] explored the direct product of finite intuitionistic anti fuzzy normal subrings over non-associative rings.…”

“…Recently Kausar [9] explored the direct product of finite intuitionistic anti fuzzy normal subrings over non-associative rings. In this paper we explore the concept of [9,21] in finite fuzzy normal subrings over non-associative and noncommutative rings. Recently Kausar et al [11] studied the fuzzy ideals in LA-rings and also Kausar et al [12], investigated a study on intuitionistic fuzzy ideals with thresholds (α, β] in LA-rings.…”

Radical Structures of Fuzzy Polynomial Ideals in a Ring

“…Ersoy et al [9] applied the concept of intuitionistic fuzzy soft sets to rings, and Shah et al [10] discussed intuitionistic fuzzy normal subrings over a nonassociative ring. Prajapati [11] investigated residual of ideals of an -ring.…”

On existence of nonassociative LA-ring

“…For example it has been proved in [5] that the condition of left distributivity in the definition of LA-ring with left identity becomes redundant as it follows from right distributivity then. Some application of LA-rings can be seen in [6,8,9]. An extension of LA-rings to LA-modules has been studied in T. Shah et al [7].…”