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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2012 Volume 53, Number 5, Pages 955–966 (Mi smj2321)

This article is cited 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.

UDC: 512.55

Received: 25.02.2011
Revised: 21.11.2011


 English version:
Siberian Mathematical Journal, 2012, 53:5, 763–771

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© Steklov Math. Inst. of RAS, 2025