Modules which are epi-equivalent to projective modules

Gary Birkenmeier

Displaying similar documents to “Modules which are epi-equivalent to projective modules”

On traces of exterior powers of a sum of two endomorphisms of a projective module

S. Balcerzyk (1971)

Colloquium Mathematicae

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Characterizations of semiperfect and perfect rings.

Weimin Xue (1996)

Publicacions Matemàtiques

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We characterize semiperfect modules, semiperfect rings, and perfect rings using locally projective covers and generalized locally projective covers, where locally projective modules were introduced by Zimmermann-Huisgen and generalized locally projective covers are adapted from Azumaya’s generalized projective covers.

On presented dimensions of modules and rings.

Zhou, Dexu, Gong, Zhiwei (2010)

International Journal of Mathematics and Mathematical Sciences

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Generalized projectivity. II.

Josef Jirásko (1979)

Commentationes Mathematicae Universitatis Carolinae

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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.