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Goldie’s torsion theory and its derived functor

Goldie’s torsion theory and its derived functor

In this paper the global dimension of any complete, wellpowered abelian category with injective envelopes in calculated relative to the torsion theory of A. W. Goldie and is found to be always one or zero.The rings R such that the left module category n^^ has global dimension zero are precisely …