Colocalization and cotilting for commutative noetherian rings

DOI10.1016/j.jalgebra.2014.03.015zbMath1304.13019arXiv1306.6234OpenAlexW2092367787WikidataQ57571091 ScholiaQ57571091MaRDI QIDQ402689

Jan Trlifaj, Serap Sahinkaya

Publication date: 28 August 2014

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

Full work available at URL: https://arxiv.org/abs/1306.6234

zbMATH Keywords

colocalizationcharacteristic sequencecotilting modulecommutative noetherian ring

Mathematics Subject Classification ID

Module categories in associative algebras (16D90) Commutative Noetherian rings and modules (13E05) Structure, classification theorems for modules and ideals in commutative rings (13C05) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Related Items (3)

Tilting modules under special base changes ⋮ An explicit self-dual construction of complete cotorsion pairs in the relative context ⋮ Recent Progress in Module Approximations

Cites Work

• Unnamed Item
• Approximations and endomorphism algebras of modules. Volume 1: Approximations. Volume 2: Predictions.
• A characterization of \(n\)-cotilting and \(n\)-tilting modules.
• Flat covers of modules
• Cotilting modules over commutative Noetherian rings
• Localization of injective modules over valuation rings
• All 𝑛-cotilting modules are pure-injective
• Tilting, cotilting, and spectra of commutative noetherian rings
• Cotilting and tilting modules over Prüfer domains
• Tilting Cotorsion Pairs

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