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HOMODERIVATIONS ON RINGS: STRUCTURAL PROPERTIES AND CHARACTERIZATIONS

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 20 No. 4 (2026) · pp. 3083–3094

DOI
10.30598/barekengvol20iss4pp3083-3094
ISSN
2615-3017, 1978-7227
Published
2026-08-24
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

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.

Collaboration network of the authors

40 authors · 94 co-authorship links · showing the 40 most connected

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  • Universitas Halu Oleo
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Jamal HarimudinAffiliation unknown6
La Ode ResteleAffiliation unknown4
Jufri KarimUniversitas Halu Oleo3
Djafar MeyAffiliation unknown3
la Ode RustamAffiliation unknown2
Yoo Eka Yana KansilUniversitas Halu Oleo2
Safrudin SaharAffiliation unknown2
Ahmad HidayatAffiliation unknown2
Weka WidayatiAffiliation unknown2
Jamal HarimuddinAffiliation unknown2
Akbardiansyah AkbardiansyahAffiliation unknown2
Muhammad AnasAffiliation unknown1
Erniwati ErniwatiAffiliation unknown1
wa Ode YusriaAffiliation unknown1
Ahmad IskandarAffiliation unknown1
La Ode KaimudinAffiliation unknown1
Suriana SurianaAffiliation unknown1
Musadar MappasombaAffiliation unknown1
Fahyuddin FahyuddinAffiliation unknown1
Jamili JamiliAffiliation unknown1
Karsadi KarsadiAffiliation unknown1
Hamuni HamuniAffiliation unknown1
Hasbullah SyafAffiliation unknown1
Eka AprianaAffiliation unknown1
Azhar BafadalUniversitas Halu Oleo1
Mukhtar AbuUniversitas Halu Oleo1
Lade Albar KalzaUniversitas Halu Oleo1
Suhadi SuhadiAffiliation unknown1
Sinarwaty SinarwatyAffiliation unknown1
Endro SukotjoAffiliation unknown1
La HataniAffiliation unknown1
Adnan HakimAffiliation unknown1
Anita IndirasaryAffiliation unknown1
Lukman YunusAffiliation unknown1
Eulisa EulisaAffiliation unknown1
La Onu OlaAffiliation unknown1
Ade Rahmasari HarsonoAffiliation unknown1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">HOMODERIVATIONS ON RINGS: STRUCTURAL PROPERTIES AND CHARACTERIZATIONS</dc:title>
	<dc:creator>Widiarti, Desi</dc:creator>
	<dc:creator>Fitriani, Fitriani</dc:creator>
	<dc:creator>Faisol, Ahmad</dc:creator>
	<dc:description xml:lang="en-US">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  &amp;nbsp;is called a homoderivation if  , for every  &amp;nbsp;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.</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/22038</dc:identifier>
	<dc:identifier>10.30598/barekengvol20iss4pp3083-3094</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; 3083-3094</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/22038/13105</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2026 Desi Widiarti, Fitriani Fitriani, Ahmad Faisol</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>