This book is the first to be devoted entirely to fuzzy abstract algebra. It presents an up-to-date
version of fuzzy commutative algebra, and focuses on the connection between L-subgroups …

This book is the first to be devoted entirely to fuzzy abstract algebra. It presents an up-to-date
version of fuzzy commutative algebra, and focuses on the connection between L-subgroups …

This study is a continuation of the study on the maximal and Frattini L subgroups of an L-
group. The normality of the maximal L subgroups of a nilpotent L group was explored …

The important concept of identifying a fuzzy subset of a set R with its corresponding chain of
level sets is widely used in the literature. We investigate in this paper the problem of …

We examine minimal generating systems for certain fuzzy ideals. We use the concept of a
minimal generating set for a fuzzy ideal to characterize principal ideal rings and to …

We characterize local rings in terms of certain fuzzy ideals. We also characterize rings of
fractions at a prime ideal in terms of fuzzy ideals. We apply our results to fuzzy intersection …

The concept of identifying a fuzzy subset of a set R with its collection of level sets and its
collection of membership values plays an important role in many real life applications. Such …

We compute for the first time, the number of fuzzy topologies defined on a finite set and
having a small number of open sets. Certain cases, where the number of open sets is large …

Let R be a commutative ring. The idea of identifying a fuzzy ideal of R with its corresponding
chain of level ideals and its range of values, although widely used in the literature for the …

We establish necessary and sufficient conditions for the set of fuzzy ideals of a commutative
ring to be finite. We also provide characterizations for the number of fuzzy ideals and for the …