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 “Almost-flat modules”
The existence of envelopes
Remarks on commutative noetherian rings whose flat modules have flat injective envelopes
Enochs, Edgar E. (1988)
Portugaliae mathematica
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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.
Testing for Cotorsionness over Domains
László Fuchs, Rüdiger Göbel (2007)
Rendiconti del Seminario Matematico della Università di Padova
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Precovers
Ladislav Bican, Blas Torrecillas (2003)
Czechoslovak Mathematical Journal
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Let be an abstract class (closed under isomorpic copies) of left -modules. In the first part of the paper some sufficient conditions under which is a precover class are given. The next section studies the -precovers which are -covers. In the final part the results obtained are applied to the hereditary torsion theories on the category on left -modules. Especially, several sufficient conditions for the existence of -torsionfree and -torsionfree -injective covers are presented. ...