Cotorsion Theories Cogenerated by a Torsionfree Class

DOI10.1080/00927872.2010.515636zbMath1269.16022OpenAlexW2033699571MaRDI QIDQ2902243

Haiyan Zhu, Mingyan Sun, Xian-Hui Fu

Publication date: 17 August 2012

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.515636

zbMATH Keywords

torsion theoriescotorsion theoriesenvelopesright perfect ringscategories of right modulessuperfluous covers

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Torsion theories, radicals (18E40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Noncommutative local and semilocal rings, perfect rings (16L30) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Cites Work

• Colocalization and localization in Abelian categories
• Injective and flat covers, envelopes and resolvents
• Preprojective modules over Artin algebras
• Relative homological algebra
• Approximations and endomorphism algebras of modules.
• How To Make Ext Vanish
• ALL MODULES HAVE FLAT COVERS
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