PERIODIC SHORT EXACT SEQUENCES AND PERIODIC PURE-EXACT SEQUENCES

DOI10.1142/S021949881000421XzbMath1206.16005MaRDI QIDQ3069766

Mostafa Khaloui, Samir Bouchiba

Publication date: 19 January 2011

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

zbMATH Keywords

flat modulesshort exact sequencesresolutionspure-exact sequencespure projective modulesprojective dimensionspure injective modules

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Homological conditions on associative rings (generalizations of regular, Gorenstein, Cohen-Macaulay rings, etc.) (16E65) Projective and free modules and ideals in commutative rings (13C10) Syzygies, resolutions, complexes in associative algebras (16E05) Homological dimension in associative algebras (16E10) Injective and flat modules and ideals in commutative rings (13C11)

Related Items (4)

The relation between Gorenstein derived and pure derived categories ⋮ Flat complexes, pure periodicity and pure acyclic complexes ⋮ Pure projective modules and FP-injective modules over Morita rings ⋮ On Gorenstein flat dimension

Cites Work

• Unnamed Item
• On Gorenstein projective, injective and flat dimensions -- a functorial description with applications
• Gorenstein homological dimensions.
• Pure-periodic modules and a structure of pure-projective resolutions.
• Gorenstein injective and projective modules
• On the vanishing of \(\lim_{(i)}\)
• On gorenstein injective modules
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• Foxby duality and Gorenstein injective and projective modules
• Periodic flat modules, and flat modules for finite groups.

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