On completions of non-commutative noetherian rings

DOI10.1080/00927877808822302zbMath0418.16009OpenAlexW2041955981MaRDI QIDQ3208816

John C. McConnell

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1080/00927877808822302

zbMATH Keywords

I-adic completioncentralising set of generators

Mathematics Subject Classification ID

Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Topological and ordered rings and modules (16W80) Noetherian rings and modules (associative rings and algebras) (16P40) Homological methods in associative algebras (16Exx) Modules, bimodules and ideals in associative algebras (16Dxx)

Related Items

Artinian quotient rings of power-series rings, Prime ideals in serial rings, Differential equations and Lie group representations, Central Extensions of Stephenson's Algebras, Noetherian completion and PI rings., Morita duality and Noetherian rings, Projective modules and Gröbner bases for skew PBW extensions, Completions of Noetherian P.I. rings, Filter dimension of algebras and modules, a simplicity criterion of generalized weyl algebras, Associative rings, Auslander-gorenstein rings, The homogenization of the three dimensional skew polynomial algebras of type I, I-adic completions of non-commutative rings, A characterization of modules embedding in products of primes and enveloping condition for their class, Cleft extensions of abelian categories and applications to ring theory

Cites Work

• Unnamed Item
• The noetherian property in complete rings and moduls
• Note on Non-Commutative Semi-Local Rings
• The Intersection Theorem for a Class of Non-Commutative Rings^†