A Combinatorial View on Derivations in Bimodules

Authors

  • Andronick A. Arutyunov V.A. Trapeznikov Institute of Control Sciences Russian Academy of Sciences, Moscow, Russia; Moscow Institute of Physics and Technology (State University), Dolgoprudniy, Russia

DOI:

https://doi.org/10.25728/assa.2023.23.2.1408

Keywords:

derivations, bimodule, outer derivations

Abstract

This paper is devoted to derivations in bimodules over group rings using previously proposed methods which are related to character spaces over groupoids. The theorem describing the arising spaces of derivations is proved. We consider some examples, in particular the case of $(\sigma, \tau)$-derivations.

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Published

2023-07-03

Issue

Vol. 23 No. 2 (2023): Advances in Systems Science and Applications

Section

Articles

How to Cite

A Combinatorial View on Derivations in Bimodules. (2023). Advances in Systems Science and Applications, 23(2), 178-183. https://doi.org/10.25728/assa.2023.23.2.1408