Gorenstein conditions over triangular matrix rings

DOI10.1016/j.jpaa.2013.12.006zbMath1312.16023OpenAlexW2067776176WikidataQ116610382 ScholiaQ116610382MaRDI QIDQ2439315

Edgar E. Enochs, Manuel Cortés-Izurdiaga, Blass Torrecillas Jover

Publication date: 14 March 2014

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2013.12.006

zbMATH Keywords

projective dimensiondirect sumsGorenstein injective modulesGorenstein projective modulestriangular matrix ringsflat dimensionGorenstein conditions

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Other classes of modules and ideals in associative algebras (16D80) Homological dimension in associative algebras (16E10)

Related Items (23)

On rings with finite Gorenstein weak global dimension ⋮ Special precovering classes in comma categories ⋮ Gorenstein projective objects in comma categories ⋮ Separated monic representations. I: Gorenstein-projective modules ⋮ Gorenstein triangular matrix rings and category algebras. ⋮ Noncommutative G-semihereditary rings ⋮ Ding projective modules over Morita context rings ⋮ Gorenstein flat modules over some Morita context rings ⋮ Gorenstein complexes over formal triangular matrix rings ⋮ Gorenstein projective modules and recollements over triangular matrix rings ⋮ Relative Gorenstein rings and duality pairs ⋮ Unnamed Item ⋮ Gorenstein homological dimensions of modules over triangular matrix rings ⋮ Tor-pairs: Products and approximations ⋮ \( \Omega \)-Gorenstein modules over formal triangular matrix rings ⋮ Homological dimension formulas for trivial extension algebras ⋮ Recollements of stable categories of Gorenstein injective modules ⋮ Unnamed Item ⋮ Recollements from Ding injective modules ⋮ Products of flat modules and global dimension relative to ℱ-Mittag-Leffler modules ⋮ Noncommutative G-hereditary rings ⋮ Gorenstein flat modules and dimensions over formal triangular matrix rings ⋮ A note on Gorenstein AC-projective and Gorenstein AC-flat modules

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