Contramodules over pro-perfect topological rings

DOI10.1515/forum-2021-0010zbMath1504.16076arXiv1807.10671OpenAlexW3215420053MaRDI QIDQ2121543

L. E. Positsel'skiĭ

Publication date: 4 April 2022

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.10671

zbMATH Keywords

projective coversdiscrete modulestopological Jacobson radicalbass flat modulesflat contramodulesperfect and pro-perfect ringstopological rings with linear topologytopologically T-nilpotent ideals

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Noncommutative local and semilocal rings, perfect rings (16L30) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Topological and ordered rings and modules (16W80) Complete rings, completion (13J10)

Related Items (5)

Dedualizing complexes and MGM duality ⋮ Closure properties of \(\varinjlim \mathcal{C}\) ⋮ Topologically semisimple and topologically perfect topological rings ⋮ Topologically semiperfect topological rings ⋮ Categories of modules, comodules and contramodules over representations

Cites Work

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• Infinite-dimensional diagonalization and semisimplicity
• Covers and directed colimits.
• Injective and flat covers, envelopes and resolvents
• Flatness and completion revisited
• \(S\)-almost perfect commutative rings
• Covers and direct limits: a contramodule-based approach
• \( \infty \)-tilting theory
• On the anti-Yetter-Drinfeld module-contramodule correspondence
• Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories
• Note on extensions of Abelian groups by primary groups
• On Flatness and Completion for Infinitely Generated Modules over Noetherian Rings
• How To Make Ext Vanish
• ALL MODULES HAVE FLAT COVERS
• Finitistic Dimension and a Homological Generalization of Semi-Primary Rings
• Remarks on topological algebras
• Triangulated Matlis equivalence
• The Tilting–Cotilting Correspondence
• FLAT RING EPIMORPHISMS OF COUNTABLE TYPE
• Weakly curved A-infinity algebras over a topological local ring
• Contraadjusted modules, contramodules, and reduced cotorsion modules
• Homological methods in the theory of locally convex spaces
• Structure Theory of Simple Rings Without Finiteness Assumptions
• Homological Algebra of Semimodules and Semicontramodules
• Projective Covers of Flat Contramodules

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