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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 3, Pages 481–488 (Mi smj1975)  
This article is cited in 5 scientific papers (total in 5 papers)

Generalized $SV$-modules

A. N. Abyzov

N. G. Chebotarev Research Institute of Mathematics and Mechanics, Department of Algebra and Mathematical Logic, Kazan
Full-text PDF (293 kB) Citations (5)
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Abstract: Given an arbitrary quasiprojective right $R$-module $P$, we prove that every module in the category $\sigma(P)$ is weakly regular if and only if every module in $\sigma(M/I(M))$ is lifting, where $M$ is a generating object in $\sigma(P)$. In particular, we describe the rings over which every right module is weakly regular.
Keywords: semiartinian ring, weakly regular module, $SV$-ring, quasiprojective module.
Received: 02.04.2008
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 3, Pages 379–384
DOI: https://doi.org/10.1007/s11202-009-0044-1
Bibliographic databases:
UDC: 512.55
Language: Russian
Citation: A. N. Abyzov, “Generalized $SV$-modules”, Sibirsk. Mat. Zh., 50:3 (2009), 481–488; Siberian Math. J., 50:3 (2009), 379–384
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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