-Products of injective, flat, and projective modules

DOI10.1080/00927879008824100zbMath0727.16002OpenAlexW1982945859MaRDI QIDQ3349047

Philippe Loustaunau

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/00927879008824100

zbMATH Keywords

filterdirect productregular cardinalright perfectleft coherentinjective right R-modules\({\mathcal F}_{\sigma }\)-product\({\mathcal F}\)-productflat right R-modulesunital right R-modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) 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)

Related Items (2)

Generalized finiteness conditions ⋮ Generalized pure modules

Cites Work

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• Set theory. An introduction to large cardinals
• Subdirect products of injectives
• Large subdirect products of projective modules

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