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On some classes of semiartinian rings

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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.

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Correspondence to A. N. Abyzov.

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Original Russian Text Copyright © 2012 Abyzov A.N.

The author was supported by the Russian Foundation for Basic Research (Grant 10-01-00431).

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Kazan. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 53, No. 5, pp. 955–965, September–October, 2012.

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Abyzov, A.N. On some classes of semiartinian rings. Sib Math J 53, 763–771 (2012). https://doi.org/10.1134/S0037446612050011

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  • DOI: https://doi.org/10.1134/S0037446612050011

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