Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. Prepublication
- Authors
- Chekhlov, Andrey R.; Danchev, Peter V.; Keef, Patrick W.
- Contact information
- Chekhlov, Andrey R. : Faculty of Mathematics and Mechanics Tomsk State University Tomsk, Russian Federation; OCRID: 0000-0002-9078-128X; Danchev, Peter V. : Institute of Mathematics and Informatics Bulgarian Academy of Sciences Sofia, Bulgaria; OCRID: 0000-0002-2016-2336; Keef, Patrick W. : Department of Mathematics Whitman College Walla Walla, WA, Unites States; OCRID: 0000-0003-4983-2273
- Keywords
- Abelian groups; (characteristically, fully, strongly) invariant subgroups; uniformly (charac teristically, fully, totally) inert subgroups
- Abstract
We prove in this short note that any uniformly totally inert subgroup of a given group is commensurable with a uniformly fully invariant subgroup of the whole group as well as that any uniformly totally strongly inert subgroup is commensurable with a strongly invariant subgroup, thus somewhat extending results due to Breaz–Cˇalugˇareanu in Rend. Sem. Mat. Univ. Padova (2017), Chekhlov–Danchev in Rocky Mount. J. Math. (2025) and Goldsmith–Salce in J. Comm. Algebra (2025)
- Pages
- 467–473
- EDN
- IXXNRI
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/156160
Journal of Siberian Federal University. Mathematics & Physics / A Note on Uniformly Totally Strongly Inert Subgroups of Abelian Groups
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