STRONGLY TORSION-FREE MODULES AND LOCAL COHOMOLOGY OVER COHEN–MACAULAY RINGS

DOI10.1081/AGB-200053824zbMath1089.13011OpenAlexW2159780334MaRDI QIDQ4681031

Reza Sazeedeh

Publication date: 14 June 2005

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-200053824

zbMATH Keywords

Cohen-Macaulay local ringlocal cohomologymaximal Cohen-MacaulayGorenstein flatGorenstein injectivestrongly cotorsionstrongly torsion free

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local cohomology and commutative rings (13D45) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Cohen-Macaulay modules (13C14) Injective and flat modules and ideals in commutative rings (13C11) Torsion theory for commutative rings (13D30)

Related Items (2)

On Gorenstein injectivity of top local cohomology modules ⋮ Gorenstein injective, Gorenstein flat modules and the section functor

Cites Work

• Unnamed Item
• The higher properties of R-sequences
• Gorenstein dimensions
• Restricted homological dimensions and Cohen-Macaulayness
• Gorenstein injective and projective modules
• Critères de platitude et de projectivité. Techniques de platification d'un module. (Criterial of flatness and projectivity. Technics of flatification of a module.)
• Ideal topologies, local cohomology and connectedness
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• Artinian modules over commutative rings
• Gorenstein injective modules and local cohomology

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