Integrality of I-adic completions

DOI10.1080/00927878808823676zbMath0651.17006OpenAlexW2040612342MaRDI QIDQ3795827

Gail Letzter

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1080/00927878808823676

zbMATH Keywords

nilpotent Lie algebracompletionenveloping algebrasNoetherian ringdomainprimitive idealcompletely prime idealArtin-Rees propertycomplex solvable Lie algebraslocalizable maximal ideals

Mathematics Subject Classification ID

Universal enveloping (super)algebras (17B35) Solvable, nilpotent (super)algebras (17B30) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Noetherian rings and modules (associative rings and algebras) (16P40) Integral domains (associative rings and algebras) (16U10) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items (1)

Zero-divisors in completions of non-commutative rings

Cites Work

• The Artin-Rees property and homology
• I-adic completions of non-commutative rings
• Ideaux premiers de l'algèbre enveloppante d'une algèbre de Lie nilpotente
• On non-commutative regular local rings
• The Intersection Theorem for a Class of Non-Commutative Rings^†
• Localisation in Enveloping Rings
• Local Rings and Normalizing Sets of Elements
• On two-sided artinian quotient rings

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