Ranks of modules relative to a torsion theory.

zbMath1277.16019MaRDI QIDQ1953946

Sh. Asgari, Ahmad Haghany

Publication date: 12 June 2013

Published in: Bulletin of the Iranian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

hereditary torsion theoriesinjective hullsGoldie torsion theoryreduced rank\(\tau\)-ranks of modulescomplements of submodulesdimensions of modulespseudo \(\tau\)-essential modulespseudo \(\tau\)-uniform modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Homological dimension in associative algebras (16E10)

This page was built for publication: Ranks of modules relative to a torsion theory.