Projectivity of countable direct products.

DOI10.1007/s10468-009-9171-4zbMath1210.16005OpenAlexW2156960427MaRDI QIDQ630073

Abdallah Laradji

Publication date: 17 March 2011

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10468-009-9171-4

zbMATH Keywords

direct sumsdirect productsNoetherian ringspure projective modulesdescending chain condition

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) Chain conditions on other classes of submodules, ideals, subrings, etc.; coherence (associative rings and algebras) (16P70)

Cites Work

• Power series rings and projectivity
• On direct sums and products of modules
• Purity, algebraic compactness, direct sum decompositions, and representation type
• Subrings of Noetherian Rings

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