Semi-generalized co-Bassian groups

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DOI Доступ к ресурсу на сайте издателя			10.1142/S0219498825502809

Title: Semi-generalized co-Bassian groups
Creator: Chekhlov, Andrey R.
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Danchev, Peter V.
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Keef, Patrick W.
Date: 2025
DOI: 10.1142/S0219498825502809
Description: As a common nontrivial generalization of the notion of a generalized co-Bassian group, recently defined by the third author, we introduce the notion of a semi-generalized co-Bassian group and initiate its comprehensive study. Specifically, we give a complete characterization of these groups in the cases of p -torsion groups and groups of finite torsion-free rank by showing that these groups can be completely determined in terms of generalized finite p -ranks and also depends on their quotients modulo the maximal torsion subgroup. Surprisingly, for p -primary groups, the concept of a semi-generalized co-Bassian group is closely related to that of a generalized co-Bassian group.

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collection(s): Механико-математический факультет
Identifier: смотреть в электронном каталоге НБ ТГУ
Relation: Journal of algebra and its applications
Type: статьи в журналах
Source: Journal of algebra and its applications. 2025. Vol. 24, № 12. P. 2550280-1-2550280-13
Language: eng

Created: 24-10-2025

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