On the ACCP in skew Poincaré-Birkhoff-Witt extensions
type: Item
instance of: scholarly article
title: On the ACCP in skew Poincaré-Birkhoff-Witt extensions
zbMATH Open document ID: 1433.16030
author: Armando Reyes
author: Yésica Suárez
published in: Beiträge zur Algebra und Geometrie
publication date: 2018-11-02T00:00:00Z
Mathematics Subject Classification ID: 16S36
Mathematics Subject Classification ID: 16P99
Mathematics Subject Classification ID: 16D25
zbMATH DE Number: 6971504
zbMATH Keywords: ascending chain conditions on principal left (resp. right) ideals
zbMATH Keywords: skew PBW extensions
MaRDI profile type: Publication
full work available at URL: s13366-018-0384-8
OpenAlex ID: W2789985349
cites work: Factorization in integral domains
cites work: Generalized Heisenberg algebra and algebraic method: the example of an infinite square-well potential
cites work: Some factorization properties of composite domains a+xb[x] and a+xbx
cites work: A COUNTEREXAMPLE CONCERNING ACCP IN POWER SERIES RINGS
cites work: Modules with \(n\)-acc and the acc on certain types of annihilators.
cites work: Projective modules and Gröbner bases for skew PBW extensions
cites work: Q4773810
cites work: ACCP in Polynomial Rings: A Counterexample
cites work: Ore extensions of Baer and p.p.-rings.
cites work: Rings with the minimum condition for principal right ideals have the maximum condition for principal left ideals
cites work: Q4714790
cites work: Prime ideals of skew PBW extensions
cites work: Some Homological Properties of SkewPBWExtensions
cites work: The ascending chain condition for principal left or right ideals of skew generalized power series rings.
cites work: The ascending chain condition for principal left ideals of skew polynomial rings
cites work: Sur des conditions de chaînes ascendantes dans des modules libres
cites work: Gelfand-Kirillov dimension of skew PBW extensions.
cites work: Uniform dimension over skew PBW extensions.
cites work: Skew PBW extensions of Baer, quasi-Baer, p.p. and p.q.-rings.
cites work: Armendariz property for skew PBW extensions and their classical ring of quotients
cites work: PBW BASES FOR SOME 3-DIMENSIONAL SKEW POLYNOMIAL ALGEBRAS
cites work: \(\sigma \)-PBW extensions of skew Armendariz rings
cites work: ENVELOPING ALGEBRA AND SKEW CALABI-YAU ALGEBRAS OVER SKEW POINCARÉ-BIRKHOFF-WITT EXTENSIONS
cites work: Q4691832
cites work: A GENERALIZED KOSZUL PROPERTY FOR SKEW PBW EXTENSIONS
DOI: 10.1007/S13366-018-0384-8
description: scientific article; zbMATH DE number 6971504