($\mathcal {X},\mathcal {Y}$)-Gorenstein projective and injective modules

DOI10.3906/MAT-1306-48zbMath1339.18011OpenAlexW2095974367WikidataQ114022812 ScholiaQ114022812MaRDI QIDQ5249103

Qunxing Pan, Faqun Cai

Publication date: 29 April 2015

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1306-48

zbMATH Keywords

\((\mathcal{X,Y})\)-Gorenstein projective module\((n,m)\)-\((\mathcal{X,Y})\)-Gorenstein projective module\(n\)-\((\mathcal{X,Y})\)-Gorenstein projective module1-\((\mathcal{X,Y})\)-Gorenstein projective module

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Homological functors on modules (Tor, Ext, etc.) in associative algebras (16E30) Syzygies, resolutions, complexes in associative algebras (16E05) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Relative homological algebra, projective classes (category-theoretic aspects) (18G25)

Related Items (4)

GORENSTEIN MODULES AND GORENSTEIN MODEL STRUCTURES ⋮ Homotopy categories of totally acyclic complexes with applications to the flat–cotorsion theory ⋮ Relative Gorenstein objects in abelian categories ⋮ Resolutions and stability of Gorenstein classes of modules

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