On a group whose generalized torsion elements are torsion elements
| Autor: | Ito, Tetsuya |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We show that a group whose generalized torsion elements are torsion elements (which we call a $TR^{*}$-group) is torsion-by-$R^{*}$ group, an extension of torsion group by a group without generalized torsion elements. We also discuss a generalized torsion group, a group all of whose non-trivial elements are generalized torsion elements. Comment: 6 pages, no figures Question 1 and 2 are updated |
| Databáze: | arXiv |
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