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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 12, Pages 3–15
(Mi ivm9304)
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Rings over which every module is an $I_0^*$-module
A. N. Abyzov Kazan Federal University,
18 Kremlyovskaya str., Kazan, 420008 Russia
Abstract:
We obtain a description of semi-artinian rings, over which every module is an $I_{0}^{*}$-module. We also describe semi-artinian rings, over which every module is a direct sum of projective module and $V$-module.
Keywords:
semi-artinian rings, $V$-rings, $I_{0}$-modules, $I_{0}^{*}$-modules, quasiprojective modules.
Received: 23.08.2016
Citation:
A. N. Abyzov, “Rings over which every module is an $I_0^*$-module”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 12, 3–15; Russian Math. (Iz. VUZ), 61:12 (2017), 1–12
Linking options:
https://www.mathnet.ru/eng/ivm9304 https://www.mathnet.ru/eng/ivm/y2017/i12/p3
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| Statistics & downloads: |
| Abstract page: | 382 | | Full-text PDF : | 113 | | References: | 98 | | First page: | 7 |
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