On a variant of quasi-injectivity via kernel functors

Paramhans, S.A.

Displaying similar documents to “On a variant of quasi-injectivity via kernel functors”

On quasi-injective modules

L. Fuchs (1969)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Relative natural classes and relative injectivity.

Crivei, Septimiu (2005)

International Journal of Mathematics and Mathematical Sciences

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On some classes of modules

Gonca Güngöroglu, Harmanci, Abdullah (2000)

Czechoslovak Mathematical Journal

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The aim of this paper is to investigate quasi-corational, comonoform, copolyform and $α$ -(co)atomic modules. It is proved that for an ordinal $α$ a right $R$ -module $M$ is $α$ -atomic if and only if it is $α$ -coatomic. And it is also shown that an $α$ -atomic module $M$ is quasi-projective if and only if $M$ is quasi-corationally complete. Some other results are developed.