On the projective dimension of torsion-free abelian groups over the ring of its endomorphisms |
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Authors: | M. N. Arshinov |
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Affiliation: | (1) Moscow Institute of Transportation Engineers, USSR |
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Abstract: | Let E be the ring of endomorphisms of an abelian group G, and let the group G be given the structure of a left module over the ring E in the natural way. We solve the problem of determining the projective dimension of the module.Translated from Matematicheskie Zametki, Vol. 7, No. 1, pp. 117–124, January, 1970. |
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