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Sibirskii Matematicheskii Zhurnal, 2012, Volume 53, Number 5, Pages 955–966
(Mi smj2321)
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This article is cited in 9 scientific papers (total in 9 papers)
On some classes of semiartinian rings
A. N. Abyzov N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan
Abstract:
The weakly regularity of all right $R$-modules with $R$ an arbitrary ring does not imply the same property of all left $R$-modules. We describe the rings over which every right and left module is weakly regular and also obtain some description of semiartinian $CSL$-rings.
Keywords:
weakly regular module, quasiprojective module, semiartinian ring $SV$-ring, $CSL$-ring.
Received: 25.02.2011 Revised: 21.11.2011
Citation:
A. N. Abyzov, “On some classes of semiartinian rings”, Sibirsk. Mat. Zh., 53:5 (2012), 955–966; Siberian Math. J., 53:5 (2012), 763–771
Linking options:
https://www.mathnet.ru/eng/smj2321 https://www.mathnet.ru/eng/smj/v53/i5/p955
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Abstract page: | 525 | Full-text PDF : | 81 | References: | 46 | First page: | 8 |
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