Title | On the structure of some modules over generalized soluble groups |
Publication Type | Journal Article |
Year of Publication | 2014 |
Authors | Kurdachenko, LA, Subbotin, IYa., Chupordya, VA |
Abbreviated Key Title | Dopov. Nac. akad. nauk Ukr. |
DOI | 10.15407/dopovidi2014.05.029 |
Issue | 5 |
Section | Mathematics |
Pagination | 29-33 |
Date Published | 5/2014 |
Language | Ukrainian |
Abstract | 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. |
Keywords | modules, soluble groups, structure |
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