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A STUDY OF DERIVATIONS AND LINEAR MAPPINGS ON SKEW GENERALIZED POWER SERIES MODULES

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 19 No. 4 (2025) · pp. 3047–3058

DOI
10.30598/barekengvol19iss4pp3047-3058
ISSN
2615-3017, 1978-7227
Published
2025-09-01
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

This paper investigates the structure of skew generalized power series modules over skew generalized power series rings, emphasizing the extension of derivations in this context. We define and study additive mappings that generalize classical derivations with respect to module homomorphisms and ring derivations. Under suitable compatibility conditions, we construct corresponding derivations on skew generalized power series modules and establish their fundamental properties. These findings contribute to a broader understanding of how derivations can be systematically extended from classical module theory to generalized algebraic frameworks.

Collaboration network of the authors

40 authors · 95 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
Sri Fera RahayuAffiliation 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">A STUDY OF DERIVATIONS AND LINEAR MAPPINGS ON SKEW GENERALIZED POWER SERIES MODULES</dc:title>
	<dc:creator>Faisol, Ahmad</dc:creator>
	<dc:creator>Fitriani, Fitriani</dc:creator>
	<dc:description xml:lang="en-US">This paper investigates the structure of skew generalized power series modules over skew generalized power series rings, emphasizing the extension of derivations in this context. We define and study additive mappings that generalize classical derivations with respect to module homomorphisms and ring derivations. Under suitable compatibility conditions, we construct corresponding derivations on skew generalized power series modules and establish their fundamental properties. These findings contribute to a broader understanding of how derivations can be systematically extended from classical module theory to generalized algebraic frameworks.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2025-09-01</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/18461</dc:identifier>
	<dc:identifier>10.30598/barekengvol19iss4pp3047-3058</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 19 No 4 (2025): BAREKENG: Journal of Mathematics and Its Application; 3047-3058</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol19iss4year2025</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/18461/11130</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2025 Ahmad Faisol, Fitriani Fitriani</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>