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On \(\sigma\)-pure submodules of QTAG-modules. (English) Zbl 0596.16021
A right R-module M is called a QTAG-module if any finitely generated submodule of any homomorphic image of M is a direct sum of uniserial modules. Some results known from Abelian group theory concerning \(\sigma\)-purity, isotype subgroups and centers of \(\sigma\)-purity are extended to QTAG-modules.
Reviewer: L.Bican

MSC:
16D80 Other classes of modules and ideals in associative algebras
16D40 Free, projective, and flat modules and ideals in associative algebras
16D70 Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras)
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