On pro-zero homomorphisms and sequences in local (co-)homology

DOI10.1016/j.jalgebra.2024.04.011zbMATH Open1546.1302MaRDI QIDQ6541321

Peter Schenzel

Publication date: 17 May 2024

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

zbMATH Keywords

completionprismsweakly pro-regular sequencesČech homology and cohomologypro-zero inverse systems

Mathematics Subject Classification ID

Completion of commutative rings (13B35) Injective and flat modules and ideals in commutative rings (13C11)

Cites Work

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• Derived functors of \(I\)-adic completion and local homology
• The higher properties of R-sequences
• Mittag-Leffler condition and the vanishing of \(\varprojlim^ 1\)
• On the homology of completion and torsion
• Prisms and prismatic cohomology
• Čech (co-) complexes as Koszul complexes and applications
• Local cohomology. A seminar given by A. Grothendieck, Harvard University, Fall 1961. Notes by R. Hartshorne
• Les foncteurs dérivés de lim et leurs applications en théorie des modules
• Local homology and cohomology on schemes
• Proregular sequences, local cohomology, and completion
• Completion, Čech and Local Homology and Cohomology
• About proregular sequences and an application to prisms
• Some homological properties of complete modules
• Remarks on derived complete modules and complexes

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