Rings over which every \(RD\)-projective module is a direct sum of cyclically presented modules.

DOI10.1016/j.jalgebra.2013.11.018zbMath1308.16003OpenAlexW1995647159MaRDI QIDQ397980

Ali Moradzadeh-Dehkordi, Alberto Facchini

Publication date: 12 August 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.11.018

zbMATH Keywords

direct sumsdirect summandsNoetherian ringssemilocal ringscyclically presented modulesRD-projective modules

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (9)

\textit{RD}-flatness and \textit{RD}-injectivity of simple modules ⋮ Rings whose cyclic modules are pure-injective or pure-projective ⋮ Unnamed Item ⋮ On the structure of pure-projective modules and some applications ⋮ RD-projective module whose subprojectivity domain is minimal ⋮ Singly injective modules ⋮ Rings in which every ideal is pure-projective or FP-projective ⋮ Pure projective modules over non-singular serial rings ⋮ Rd-phantom and RD-Ext-phantom morphisms

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