Introduction to $N$-soft algebraic structures

Authors: HÜSEYİN KAMACI

Abstract: This paper is dedicated to two main objectives. The first of these is to develop some new operations on $N$-soft set, which is the generalization of soft set. The second is to highlight the concepts of $N$-soft group, $N$-soft ring, $N$-soft ideal, completely semiprime $N$-soft ideal, $N$-soft field and $N$-soft lattice. Moreover, in this study, it is attempted to derive certain properties for these concepts and to analyze the relations between them.

Keywords: $N$-soft sets, $N$-soft operations, $N$-soft groups, $N$-soft rings, $N$-soft fields, $N$-soft lattices

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