Nontrivial Outer Derivations in Bimodules over Group Rings

Andronick Arutyunov; Alexey Naianzin

Nontrivial Outer Derivations in Bimodules over Group Rings

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Authors

Andronick Arutyunov
Alexey Naianzin

Keywords:

group theory, derivations, derivation problem, outer derivations, bimodule

Abstract

Paper is devoted to the description of outer derivations for bimodules over group rings. Examples of corresponding bimodules with nontrivial outer derivations are constructed and their properties are investigated, in particular, their dependence on generating sets. Various types of groups by type of growth are investigated: polynomial and exponential.

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Published

2022-01-01

How to Cite

Arutyunov, A., & Naianzin, A. (2022). Nontrivial Outer Derivations in Bimodules over Group Rings. Eurasian Mathematical Journal, 13(4), 08–17. Retrieved from https://emj.enu.kz/index.php/main/article/view/268