Relative left derived functors of tensor product functors

DOI10.1007/S10114-016-5245-5zbMath1390.18031OpenAlexW2434744141MaRDI QIDQ327267

Zhao Yong Huang, Jun Fu Wang

Publication date: 19 October 2016

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-016-5245-5

zbMATH Keywords

balanced pairscotorsion pairs(co)resolution dimensionrelative left derived functorstensor product functors

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Resolutions; derived functors (category-theoretic aspects) (18G10) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Homological dimension in associative algebras (16E10)

Cites Work

• Homotopy equivalences induced by balanced pairs
• Approximations and endomorphism algebras of modules. Volume 1: Approximations. Volume 2: Predictions.
• Covers, precovers, and purity.
• An introduction to homological algebra
• Injective and flat covers, envelopes and resolvents
• Relative homological algebra
• HOMOLOGICAL PROPERTIES OF MODULES OVER DING-CHEN RINGS
• Gorenstein derived functors
• The existence of Gorenstein flat covers
• Applications of exact structures in abelian categories
• All Modules Have Gorenstein Flat Precovers
• Stability of Gorenstein categories

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