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All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan
Desi Widiarti
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Lampung, Indonesia
Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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HOMODERIVATIONS ON RINGS: STRUCTURAL PROPERTIES AND CHARACTERIZATIONS Desi Widiarti; Fitriani Fitriani; Ahmad Faisol
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 20 No 4 (2026): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol20iss4pp3083-3094

Abstract

Research in ring theory has produced major advances, particularly in the study of derivations. A related notion is that of a homoderivation, which combines aspects of derivations and ring homomorphisms. An additive map is called a homoderivation if , for every This study provides a comprehensive analysis of the fundamental structural properties of homoderivation mappings. The main results show that the class of homoderivations is closed under direct sums on component rings. In addition, the sum of two homoderations is again a homoderivation, provided the maps are orthogonal. However, scalar multiplication of a homoderivation generally does not yield another homoderivation, highlighting a key structural distinction from classical derivations.
Co-Authors Ahmad Faisol Fitriani Fitriani