L-Fuzzy Prime Ideals in Universal Algebras

Abstract

In this paper, the notions ofL-fuzzy prime ideals and maximalL-fuzzy ideals of universal algebras are introduced by applying the general theory of algebraic fuzzy systems.

L-Fuzzy Congruences and L-Fuzzy Kernel Ideals in Ockham Algebras

“…His paper has provided sufficient motivation to researchers to study fuzzy subalgebras of different algebraic structures. For instance, fuzzy ideals and fuzzy filters of MS-algebras [8][9][10], some generalizations of fuzzy ideals in distributive lattices [11][12][13], fuzzy ideals and fuzzy filters of partially ordered sets [14,15], and fuzzy ideals of universal algebras [16][17][18] are some of recent works on fuzzy subalgebraic structures.…”

The Commutator of Fuzzy Congruences in Universal Algebras

“…In 1971, A.Rosenfeld [3] applied this theory and has formulated the concept of a fuzzy subgroup of a group. Since then, many researchers have been studying fuzzy subalgebras of several algebraic structures such as rings (see [4][5][6]), modules (see [7][8][9]), vector spaces (see [10,11]), lattices (see [12][13][14][15][16][17]), pseudo-complemented semi-lattice (see [18]), posets (see [19,20]), MS-algebras (see [21][22][23][24]), universal algebras (see [25][26][27][28]), etc.…”

P-Fuzzy Ideals and P-Fuzzy Filters in P-Algebras

“…Rosenfeld's paper inspired the development of fuzzy abstract algebra. Since then, several authors have developed interesting results on fuzzy theory (see [3][4][5][6][7][8][9][10][11][12][13][14]). In this paper, we introduce the concept of p-fuzzy ideals and p-fuzzy filters in p-algebra.…”