Iuliu Crivei and Septimiu Crivei:$(m,n)$-purity for modules, p.37-46

Abstract:

We consider $(m,n)$-purity for modules and show that the main properties of purity may be refined for $(m,n)$-purity. We give connections with $(m,n)$-injectivity and $(n,m)$-flatness of modules.

Key Words: $(m,n)$-purity, $(m,n)$-injective module, $(n,m)$-flat module.

2000 Mathematics Subject Classification: Primary: 16D80.

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