2018
Том 70
№ 2

# On Schur classes for modules over group rings

Abstract

We consider the problem of the coupling between a factor-module $A / C_A(G)$ and a submodule $A(\omega RG)$, where $G$ is a group, $R$ is a ring, and $A$ is an $RG$-module. It is possible to consider $C_A (G)$ as an analog of the center of the group and the submodule $A(\omega RG)$ as an analog of the derived subgroup of the group.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 9, pp 1408-1416.

Citation Example: Chupordya V. A., Semko N. N. On Schur classes for modules over group rings // Ukr. Mat. Zh. - 2007. - 59, № 9. - pp. 1261–1268.

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