Article Per Year (5 Year)
p-Index From 2021 - 2026
0.23
P-Index
This Author published in this journals
All Journal BAREKENG: Jurnal Ilmu Matematika dan Terapan
Galang Riki Ramadhan
Department of Mathematics, Faculty of Science and Mathematics, Universitas Diponegoro, Indonesia
Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

Published : 1 Documents Claim Missing Document
Claim Missing Document
Check
Articles

Found 1 Documents
Search

 1 
HOMODERIVATIONS ON LIE RINGS Suffi Nuralesa; Galang Riki Ramadhan; Carolus Pasha Lazuardi Jituprasojo Hatmakelana; Nurul Fadhilah; Benediktus Panji Pradipta; Nikken Prima Puspita
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/barekengvol20iss4pp3109-3122

Abstract

Let be a set equipped with two binary operations, addition and multiplication . The triple is a Lie ring if its multiplication is the Lie bracket commutator defined by for every . A homoderivation on a Lie ring is a mapping that satisying the equation , for all . The set of all homoderivations on is denoted by . This paper investigates the structure of with the binary operations of addition and composition. It is shown that does not form a ring. Therefore, we introduce a subset satisfying the property. Under this condition, it is shown that forms a ring. Furthermore, using the bracket operator, the structure is also a Lie ring. In addition, this paper formulates an iteration of homoderivations in terms of the sigma sum of Lie ring elements.
Co-Authors Benediktus Panji Pradipta Carolus Pasha Lazuardi Jituprasojo Hatmakelana Nikken Prima Puspita Nurul Fadhilah Suffi Nuralesa