Vol 19 No 4 (2025): BAREKENG: Journal of Mathematics and Its Application
Articles

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

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  • Ahmad Faisol,
  • Fitriani Fitriani
Ahmad Faisol
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Lampung, Indonesia
Fitriani Fitriani
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Lampung, Indonesia
Bio
DOI: https://doi.org/10.30598/barekengvol19iss4pp3047-3058
Published September 1, 2025
Keywords
  • Derivations,
  • Modules,
  • Rings,
  • Skew Generalized Power Series Rings,
  • Skew Generalized Power Series Modules
How to Cite
[1]
A. Faisol and F. Fitriani, “A STUDY OF DERIVATIONS AND LINEAR MAPPINGS ON SKEW GENERALIZED POWER SERIES MODULES”, BAREKENG: J. Math. & App., vol. 19, no. 4, pp. 3047-3058, Sep. 2025.

Copyright (c) 2025 Ahmad Faisol, Fitriani Fitriani

Creative Commons License

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

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.

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