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HOMODERIVATIONS ON LIE RINGS

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 20 No. 4 (2026) · hlm. 3109–3122

DOI
10.30598/barekengvol20iss4pp3109-3122
ISSN
2615-3017, 1978-7227
Terbit
2026-08-24
Penerbit
PATTIMURA UNIVERSITY
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-sa/4.0

Abstrak

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.

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  • Diponegoro University
  • Universitas Gadjah Mada
  • Universitas Sulawesi Barat
  • State University of Semarang
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Rekan penulisOrganisasiArtikel bersama
Meryta Febrilian FatimahUniversitas Sulawesi Barat1
Fitriana HasnaniUniversitas Gadjah Mada1
Shinta Nur AlfianaDiponegoro University1
Widowati WidowatiState University of Semarang1

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Sumber metadata: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, pertama di-harvest 5 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en-US">HOMODERIVATIONS ON LIE RINGS</dc:title>
	<dc:creator>Nuralesa, Suffi</dc:creator>
	<dc:creator>Ramadhan, Galang Riki</dc:creator>
	<dc:creator>Hatmakelana, Carolus Pasha Lazuardi Jituprasojo</dc:creator>
	<dc:creator>Fadhilah, Nurul</dc:creator>
	<dc:creator>Pradipta, Benediktus Panji</dc:creator>
	<dc:creator>Puspita, Nikken Prima</dc:creator>
	<dc:description xml:lang="en-US">Let &amp;nbsp;be a set equipped with two binary operations, addition &amp;nbsp;and multiplication . The triple &amp;nbsp;is a Lie ring if its multiplication is the Lie bracket commutator defined by &amp;nbsp;for every . A homoderivation on a Lie ring is a mapping &amp;nbsp;that satisying the equation , for all . The set of all homoderivations on &amp;nbsp;is denoted by . This paper investigates the structure of &amp;nbsp;with the binary operations of addition and composition. It is shown that &amp;nbsp;does not form a ring. Therefore, we introduce a subset &amp;nbsp;satisfying the &amp;nbsp;property. Under this condition, it is shown that &amp;nbsp;forms a ring. Furthermore, using the bracket operator, the structure &amp;nbsp;is also a Lie ring. In addition, this paper formulates an iteration of homoderivations in terms of the sigma sum of Lie ring elements.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2026-08-24</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/22070</dc:identifier>
	<dc:identifier>10.30598/barekengvol20iss4pp3109-3122</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 20 No 4 (2026): BAREKENG: Journal of Mathematics and Its Application; 3109-3122</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol20iss4year2026</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/22070/13167</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2026 Suffi Nuralesa, Galang Riki Ramadhan, Carolus Pasha Lazuardi Jituprasojo Hatmakelana, Nurul Fadhilah, Benediktus Panji Pradipta, Nikken Prima Puspita</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
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