COTILTING CLASSES OF TORSION-FREE MODULES

DOI10.1142/S0219498806001971zbMath1118.16021WikidataQ57571235 ScholiaQ57571235MaRDI QIDQ3421568

Jan Trlifaj, Ulrich F. Albrecht

Publication date: 7 February 2007

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

cotilting modulesGoldie dimensionrings of quotientstorsion-free modulescotilting classes of modules

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90)

Related Items (2)

Right Utumi p.p.-rings. ⋮ Divisibility and duo-rings

Cites Work

• Unnamed Item
• Covers induced by Ext
• Torsion-freeness and non-singularity over right p.p.-rings.
• Divisible modules and localization
• Cotilting modules are pure-injective
• TORSION-FREENESS FOR RINGS WITH ZERO-DIVISORS
• A Foundation of Torsion Theory for Modules Over General Rings
• Tilting preenvelopes and cotilting precovers

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