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Adrianus, Karen Isye
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Mathematics

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THE SUFFICIENT CONDITIONS FOR A MULTIPLICATIVE DERIVATION IN THE JORDAN RING TO BE ADDITIVE Adrianus, Karen Isye; Batkunde, Harmanus; Patty, Dyana
Parameter: Jurnal Matematika, Statistika dan Terapannya Vol 4 No 1 (2025): Parameter: Jurnal Matematika, Statistika dan Terapannya
Publisher : Jurusan Matematika FMIPA Universitas Pattimura

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/parameterv4i1pp95-110

Abstract

Derivation is a mapping from a set to itself. There are two types of derivations in rings: ordinary derivation and Jordan derivation. Given a triangular matrix ring T, a non-associative ring can be formed, known as a Jordan ring T. Subsequently, on the Jordan ring T, a derivation can be defined, referred to as derivation in the Jordan ring T. This paper provides the conditions that must be met for a multiplication derivation on the Jordan ring T to be additive. Furthermore, the ring T must be 2-torsion-free so that the derivation on the Jordan ring becomes a Jordan derivation on the ring T.
Co-Authors Batkunde, Harmanus Patty, Dyana