Two Results on Modules whose Endomorphism Ring is Semilocal
by Facchini, Alberto; Herbera, Dolors
The aim of this paper is twofold. On the one hand, we show that the dual Goldie dimension codim(End(M
R
)) of the endomorphism ring End(M
R
) of a module M
R
can be used as a measure of the dimension of the module M
R
. On the other hand, we prove under suitable hypotheses the validity of the Krull–Schmidt Theorem for infinite direct sums of modules with homogeneous semilocal endomorphism rings.
DOI: 10.1023/B:ALGE.0000048320.11088.49
Print publication date: 12/1/2004
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