On presented dimensions of modules and rings.
Zhou, Dexu, Gong, Zhiwei (2010)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “Remarks on faithful flatness”
On presented dimensions of modules and rings.
Projectivity and flatness over the endomorphism ring of a finitely generated module.
Caenepeel, S., Guédénon, T. (2004)
International Journal of Mathematics and Mathematical Sciences
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Flat modules in algebraic geometry
M. Raynaud (1972)
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S. Yuan (1968)
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Moss E. Sweedler (1974)
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Remarks on commutative noetherian rings whose flat modules have flat injective envelopes
Enochs, Edgar E. (1988)
Portugaliae mathematica
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Behavior of countably generated pure-projective modules.
Goro Azumaya (1992)
Publicacions Matemàtiques
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We first prove that every countably presented module is a pure epimorphic image of a countably generated pure-projective module, and by using this we prove that if every countably generated pure-projective module is pure-injective then every module is pure-injective, while if in any countably generated pure-projective module every countably generated pure-projective pure submodule is a direct summand then every module is pure-projective.