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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, Number 5, Pages 59–63
(Mi ivm8895)
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This article is cited in 3 scientific papers (total in 3 papers)
Brief communications
CS-Rickart modules
A. N. Abyzov, Tran Hoai Ngoc Nhan Chair of Algebra and Mathematical Logic, Kazan (Volga Region) Federal Univesrity, 18 Kremlyovskaya str., Kazan, 420008 Russia
Abstract:
We introduce a notion of CS-Rickart module being a modular analog of the ACS-ring concept. We describe the rings over which each finitely generated projective module is CS-Rickart module. The presented results yield the known results related to Rickart modules and semihereditary rings.
Keywords:
CS-Rickart modules, Rickart modules, ACS-rings, semihereditary rings.
Citation:
A. N. Abyzov, Tran Hoai Ngoc Nhan, “CS-Rickart modules”, Izv. Vyssh. Uchebn. Zaved. Mat., 2014, no. 5, 59–63; Russian Math. (Iz. VUZ), 58:5 (2014), 48–52
Linking options:
https://www.mathnet.ru/eng/ivm8895 https://www.mathnet.ru/eng/ivm/y2014/i5/p59
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Abstract page: | 1139 | Full-text PDF : | 64 | References: | 65 | First page: | 20 |
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