Soft N-Clogroups over Near-Rings and Their Extended Operations
Fundamentals of contemporary mathematical sciences (Online), vol.7, no.2, pp.185-201, 2026 (TRDizin)
- Publication Type: Article / Article
- Volume: 7 Issue: 2
- Publication Date: 2026
- Doi Number: 10.54974/fcmathsci.1914514
- Journal Name: Fundamentals of contemporary mathematical sciences (Online)
- Journal Indexes: TR DİZİN (ULAKBİM)
- Page Numbers: pp.185-201
- Erciyes University Affiliated: Yes
Abstract
In this paper, we introduce the notion of a soft N -clogroup over a near-ring by combining the
classical concept of N -clogroups with soft set theory. This framework provides a parameter-dependent
extension of the subgroup-generation mechanism induced by multiplicative action in near-rings. We define
soft N -clogroups and soft sub- N -clogroups and present illustrative examples clarifying their structural
behavior. We further investigate the behavior of these structures under extended union and extended
intersection operations. The associativity of these extended operations is established within the soft N -
clogroup framework. The obtained results provide a systematic structural analysis of soft N -clogroups
and clarify the behavior of extended operations in this setting. Moreover, we examine the behavior of
soft N -clogroups under near-ring homomorphisms and show that preimages preserve the soft N -clogroup
structure, whereas homomorphic images do not necessarily preserve it.