The existence of envelopes
Edgar E. Enochs, Overtoun M. G. Jenda, Jinzhong Xu (1993)
Rendiconti del Seminario Matematico della Università di Padova
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Displaying similar documents to “Kaplansky classes”
The existence of envelopes
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.
and -dimensions of modules
Edgar E. Enochs, Overtoun M. G. Jenda, Luis Oyonarte (2001)
Rendiconti del Seminario Matematico della Università di Padova
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On *-modules generating the injectives
Jan Trlifaj (1992)
Rendiconti del Seminario Matematico della Università di Padova
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On large selforthogonal modules
Gabriella D'Este (2006)
Commentationes Mathematicae Universitatis Carolinae
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We construct non faithful direct summands of tilting (resp. cotilting) modules large enough to inherit a functorial tilting (resp. cotilting) behaviour.