Jurnal Matematika Integratif
Vol 22, No 1: April 2026

Bi-derivation on Polynomial Ring

Rinanda, Selvi Diana Dwi (Unknown)
Fitriani, Fitriani (Unknown)
Faisol, Ahmad (Unknown)

Article Info

Publish Date
31 May 2026

Abstract

Derivations and their generalizations play an important role in understanding the structure of rings. One natural extension of derivations is the notion of a biderivation, which is a bi-additive mapping satisfying derivation-type identities in each argument. In this paper, we investigate biderivations on polynomial rings. Several examples of biderivations are constructed and some of their fundamental properties are established. In particular, we study the relationship between biderivations defined on a ring $R$ and those induced on the polynomial ring $R[x]$. The obtained results provide additional insight into the behavior of biderivations under polynomial ring extensions.

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Journal Info
Jurnal Matematika Integratif
Website

Abbrev

jmi

Publisher

Universitas Padjadjaran

Subject

Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Electrical & Electronics Engineering Engineering Mechanical Engineering Transportation

Description

Jurnal Matematika Integratif (JMI) is a national journal intended as a communication forum for mathematicians and other scientists from many practitioners who use mathematics in research. JMI received a manuscript in areas of study mathematics widely, and math-based multidisciplinary studies derived ...