Gorenstein projective precovers

DOI10.1007/s00009-016-0822-5zbMath1368.18008arXiv1601.02169OpenAlexW2238934968MaRDI QIDQ523656

Katelyn Yeomans, Sergio Estrada, Alina C. Iacob

Publication date: 21 April 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.02169

zbMATH Keywords

precoversGorenstein projectiveGorenstein flat

Mathematics Subject Classification ID

Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Syzygies, resolutions, complexes in associative algebras (16E05) Relative homological algebra, projective classes (category-theoretic aspects) (18G25) Chain complexes (category-theoretic aspects), dg categories (18G35)

Related Items (8)

Dimension of complexes related to special Gorenstein projective precovers(II) ⋮ Special precovering classes in comma categories ⋮ Five theorems on Gorenstein global dimensions ⋮ Projectively coresolved Gorenstein flat and ding projective modules ⋮ Completeness of the induced cotorsion pairs in categories of quiver representations ⋮ Singular compactness and definability for \(\Sigma\)-cotorsion and Gorenstein modules ⋮ Maximum deconstructibility in module categories ⋮ Noncommutative G-hereditary rings

Cites Work

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• On the existence of Gorenstein projective precovers
• Totally acyclic complexes over noetherian schemes
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• Existence of Gorenstein projective resolutions and Tate cohomology
• Strongly Gorenstein projective, injective, and flat modules
• Gorenstein homological dimensions.
• Gorenstein Flat Covers over GF-Closed Rings
• Gorenstein flat and projective (pre)covers
• Finite Flat and Projective Dimension
• Hereditary Semi-Primary Rings and Tri-Angular Matrix Rings

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