1Dept. of Mathematics, Andhra Loyola College, Vijayawada-520008 E-mail: raman93in@gmail.com
2Dept. of Mathematics, Holy Mary Institute of Technology & Science, Bogaram, Hyderabad-501301 E-mail: mythreye.v@gmail.com
AMS Subject Classification: 20K99
The theory of Divisible and Pure subgroups has played a major role in the field of Abelian groups [1]. Similarly, Divisible and Pure Fuzzy Subgroups are also significant and they are defined by F. 1. Sidky and M. A. Mishref [6]. Neat subgroups are one of the generalizations of Pure subgroups in crisp Abelian group theory and they were introduced by K. Honda ([2], [3], [4]. Neat Fuzzy Subgroups are a generalization of Pure Fuzzy subgroups. Therefore, neat fuzzy subgroups are also having significant study.
A group G is said to be divisible if nG =G, for all integers n. A subgroup H of a group G is said to be neat in G if pH =H ∩ pG for all primes p, and it is Pure if the equation is satisfied by all integers. This paper makes an attempt to study of Neat Fuzzy subgroups and their properties. Some examples are also given to show their existence. Throughout this paper, all groups are additive Abelian groups. All the basic definitions and notations are referred to in [1] and [5].
Neat Subgroups, Neat Fuzzy Subgroups, Pure Fuzzy Subgroups
