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 “Remarks on commutative noetherian rings whose flat modules have flat injective envelopes”
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.
Characterizations of some rings with -projective, -(FP)-injective and -flat modules
Xiao Guang Yan, Xiao Sheng Zhu (2011)
Czechoslovak Mathematical Journal
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Let be a commutative ring and a semidualizing -module. We investigate the relations between -flat modules and -FP-injective modules and use these modules and their character modules to characterize some rings, including artinian, noetherian and coherent rings.
On quasi-injective modules
L. Fuchs (1969)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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