Study of homoderivations on quotient near rings satisfying certain algebraic constraints

  • Emine Koç Sögütcü Department of Mathematics, Faculty of Science, Kilis 7 Aralik University Kilis, Turkey
  • Inzamam ul Huque Department of Mathematics, University Institute of Science, Chandigarh University Mohali-140413, Punjab, India
Keywords: near ring, homoderivations, prime ideal, commutativity

Abstract

Let $N$ be a near ring and $P$, a prime ideal of $N$. In this paper, we define the notion of $P$-homoderivation in near rings. Also, we investigate the structure of quotient near ring $N/P$ via $P$-homoderivation satisfying some specific identities. Moreover, we provide examples to justify the existence of the results.

Author Biographies

Emine Koç Sögütcü, Department of Mathematics, Faculty of Science, Kilis 7 Aralik University Kilis, Turkey

Department of Mathematics, Faculty of Science, Kilis 7 Aralik University
Kilis, Turkey

Inzamam ul Huque, Department of Mathematics, University Institute of Science, Chandigarh University Mohali-140413, Punjab, India

Department of Mathematics, University Institute of Science, Chandigarh University
Mohali-140413, Punjab, India

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Published
2026-09-22
How to Cite
Koç Sögütcü, E., & ul Huque, I. (2026). Study of homoderivations on quotient near rings satisfying certain algebraic constraints. Matematychni Studii, 66(1), 11-23. https://doi.org/10.30970/ms.66.1.11-23
Section
Articles