Abstract
We consider the problem of coupling between a quotient module A/C A (G) and a submodule A(ωRG), where G is a group, R is a ring, and A is an RG-module; C A (G) can be considered as an analog of the center of the group, and the submodule A(ωRG) can be considered as an analog of the derived subgroup of the group.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 9, pp. 1261–1268, September, 2007.
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Semko, N.N., Chupordya, V.A. On Schur classes for modules over group rings. Ukr Math J 59, 1408–1416 (2007). https://doi.org/10.1007/s11253-007-0095-z
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DOI: https://doi.org/10.1007/s11253-007-0095-z