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IMI/Publicaţii/BASM/Ediţii/BASM n.2 (45), 2004/

On natural classes of R-modules in the language of ring R.

Authors: Caşu Alexei

Abstract

Every natural class of left R-modules is closed, i.e. is completely described by special set of left ideals of R (natural set). Some characterizations of such sets are shown. The complementation operator of sets is defined and its properties permit to transfer some results on natural classes to the lattice of left ideals of R.

Institute of Mathematics and Computer Science,
Academy of Sciences of Moldova,
5 Academiei str.,
Chisinau MD-2028 Moldova
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