Precovers and preenvelopes under change of rings.

DOI10.1216/RMJ-2015-45-5-1527zbMath1341.16004OpenAlexW2311437629MaRDI QIDQ908257

Li-Xin Mao

Publication date: 4 February 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1453817253

zbMATH Keywords

coversprecoversenvelopespreenvelopesHomring homomorphismstensor products of moduleschange of ringshomomorphisms of modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Free, projective, and flat modules and ideals in associative algebras (16D40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30)

Cites Work

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• Cotorsion pair extensions.
• Injective and flat covers, envelopes and resolvents
• Preprojective modules over Artin algebras
• Flat covers of modules
• Relative homological algebra
• Absolutely Pure Covers
• Ring Extensions and Essential Monomorphisms
• Coherent Rings and Fp -Injective Modules
• Ring extensions, injective covers and envelopes