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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 10 scientific papers (total in 10 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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