Envelopes of commutative rings

DOI10.1007/s10114-011-9344-zzbMath1253.13012arXiv0906.4357OpenAlexW2032435733MaRDI QIDQ1758010

Rafael Parra, Manuel Saorín

Publication date: 7 November 2012

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.4357

zbMATH Keywords

Krull dimensionlocal ringenvelopesNoetherian ringnil radicalnoetherian ringArtinian ringpre-envelopesEnvelope

Mathematics Subject Classification ID

Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Structure, classification theorems for modules and ideals in commutative rings (13C05) Special categories (18B99)

Cites Work

• The homotopy category of flat modules, and Grothendieck duality
• Cotorsion pair extensions.
• Injective and flat covers, envelopes and resolvents
• Preprojective modules over Artin algebras
• Applications of contravariantly finite subcategories
• Approximations and endomorphism algebras of modules.
• The converse to a well known theorem on Noetherian rings
• ALL MODULES HAVE FLAT COVERS
• Subrings of Noetherian Rings
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