On the structure of some modules over generalized soluble groups
DOI:
https://doi.org/10.15407/dopovidi2014.05.029Keywords:
modules, soluble groups, structureAbstract
Let R be a ring, G be a group, and A be an RG-module. We say that A is a minimax-antifinitary RG-module if the factor-module A/CA(H) is minimax as an R-module for each not finitely generated proper subgroup H, and the R-module A/CA(G) is not minimax. The minimax-antifinitary modules over the group ring RG, where R = Z is the ring of all integers and G is the locally generalized radical group, are studied.
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Kurdachenko L. A., Subbotin I. Ya., Chupordya V. A. On the structure of some modules over generalized soluble groups. Retrieved from arXiv:1302.2115.
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