Copure injective resolutions, flat resolvents and dimensions
Edgar E. Enochs, Jenda M. G. Overtoun (1993)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we show the existence of copure injective preenvelopes over noetherian rings and copure flat preenvelopes over commutative artinian rings. We use this to characterize -Gorenstein rings. As a consequence, if the full subcategory of strongly copure injective (respectively flat) modules over a left and right noetherian ring has cokernels (respectively kernels), then is -Gorenstein.