Soft Quasi-ideals of soft near-rings

Abstract

In this paper, we introduce the notions of soft quasi-ideal, soft minimal quasi-ideal, soft left (resp. right) N-subgroup and soft invariant subnear-ring of a soft near-ring with the help of soft set theory established by Molodtsov. We also introduce the concepts of soft zero -sym-metric near-ring, soft constant near-ring, soft near-field and soft Q-simple near-ring over a near-ring. We investigate the properties of these notions with illustrative examples. We obtain the characterizations of soft quasi-ideals of a soft (zero-symmetric) near-ring and soft near -fields over a near-ring.