In this paper, we study some of the properties of (Q, L) -fuzzy normal ideal of a ring and prove some results on these. 2000 AMS SUBJECT CLASSIFICATION: 03F55, 08A72, 20N25.

In this paper, we study some of the properties of interval valued intuitionistic fuzzy subring of a ring and prove some results on these. 2000 AMS SUBJECT CLASSIFICATION: 03F55, 08A72, 20N25.

Let L be a complete lattice. In this paper we introduce various definitions of L-fuzzy 2-absorbing ideals of a commutative ring R and give some basic results concerning these classes of ideals.

In this research paper, it was studied about degree of vertices of a semitotal blocks in fuzzy graphs. In process we obtain some interesting results regarding the degree of the vertices in semitotal blocks in fuzzy graphs. We observed that when ‘B’ is a block of a given fuzzy graph G:(V, σ, μ), then degree of the vertex B in semi total block fuzzy graph TSTBF(G) is equal to the sum of the membe...

This section define a level subring or level ideals obtain a set of necessary and sufficient condition for the equality of two ideals and characterizes field in terms of its fuzzy ideals. It also presents a procedure to construct a fuzzy subrings (fuzzy ideals) from any given ascending chain of subring ideal. We prove that the lattice of fuzzy congruence of group G (respectively ring R) is isom...

To the best of authors’ knowledge there is no work done on ring exercises, though various studies are found on horizontal bar exercises. The ring exercises have the characteristics that the apparatus can move in all directions freely unlike the horizontal bar exercises with the constraint between hands and the horizontal bar. If the robot that performs rings is realized practically by clarifyin...

in this paper, we study some ring theoretic properties of the amalgamated duplication ring $rbowtie i$ of a commutative noetherian ring $r$ along an ideal $i$ of $r$ which was introduced by d'anna and fontana. indeed, it is determined that when $rbowtie i$ satisfies serre's conditions $(r_n)$ and $(s_n)$, and when is a normal ring, a generalized cohen-macaulay ring and finally a filter ring.

The purpose of this paper is to introduce and discuss the concept of T-rough (prime, primary) ideal and T-rough fuzzy (prime, primary) ideal in a commutative ring . Our main aim in this paper is, generalization of theorems which have been proved in [6, 7, 11]. At first, T-rough sets introduced by Davvaz in [6]. By using the paper, we define a concept of T-rough ideal , T-rough quotient ideal an...

In this paper, a new kind of direct product of fuzzy modules over fuzzy rings is studied by using the definition of new type of fuzzy modules over fuzzy rings which is introduced in [3]. Some properties of this new structure is investigated analogues to ordinary module theory. Mathematics Subject Classification: 03E72; 08A72, 20N25