Soft N-Clogroups over Near-Rings and Their Extended Operations

İncinur Yılmaz; Emin Aygun

doi:10.54974/fcmathsci.1914514

Soft N-Clogroups over Near-Rings and Their Extended Operations

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.

Keywords

References

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Details

Primary Language

English

Subjects

Group Theory and Generalisations

Journal Section

Research Article

Authors

İncinur Yılmaz ^*
0000-0001-6481-8918
Türkiye

Emin Aygun
0000-0003-3503-0552
Türkiye

Publication Date

July 31, 2026

Submission Date

March 23, 2026

Acceptance Date

June 2, 2026

Published in Issue

Year 2026 Volume: 7 Number: 2

DOI

https://doi.org/10.54974/fcmathsci.1914514

IZ

https://izlik.org/JA57AD32FM

Cite

RIS / Bibtex

APA

Yılmaz, İ., & Aygun, E. (2026). Soft N-Clogroups over Near-Rings and Their Extended Operations. Fundamentals of Contemporary Mathematical Sciences, 7(2), 185-201. https://doi.org/10.54974/fcmathsci.1914514

AMA

1.Yılmaz İ, Aygun E. Soft N-Clogroups over Near-Rings and Their Extended Operations. FCMS. 2026;7(2):185-201. doi:10.54974/fcmathsci.1914514

Chicago

Yılmaz, İncinur, and Emin Aygun. 2026. “Soft N-Clogroups over Near-Rings and Their Extended Operations”. Fundamentals of Contemporary Mathematical Sciences 7 (2): 185-201. https://doi.org/10.54974/fcmathsci.1914514.

EndNote

Yılmaz İ, Aygun E (July 1, 2026) Soft N-Clogroups over Near-Rings and Their Extended Operations. Fundamentals of Contemporary Mathematical Sciences 7 2 185–201.

IEEE

[1]İ. Yılmaz and E. Aygun, “Soft N-Clogroups over Near-Rings and Their Extended Operations”, FCMS, vol. 7, no. 2, pp. 185–201, July 2026, doi: 10.54974/fcmathsci.1914514.

ISNAD

Yılmaz, İncinur - Aygun, Emin. “Soft N-Clogroups over Near-Rings and Their Extended Operations”. Fundamentals of Contemporary Mathematical Sciences 7/2 (July 1, 2026): 185-201. https://doi.org/10.54974/fcmathsci.1914514.

JAMA

1.Yılmaz İ, Aygun E. Soft N-Clogroups over Near-Rings and Their Extended Operations. FCMS. 2026;7:185–201.

MLA

Yılmaz, İncinur, and Emin Aygun. “Soft N-Clogroups over Near-Rings and Their Extended Operations”. Fundamentals of Contemporary Mathematical Sciences, vol. 7, no. 2, July 2026, pp. 185-01, doi:10.54974/fcmathsci.1914514.

Vancouver

1.İncinur Yılmaz, Emin Aygun. Soft N-Clogroups over Near-Rings and Their Extended Operations. FCMS. 2026 Jul. 1;7(2):185-201. doi:10.54974/fcmathsci.1914514