Critical and injective modules over skew polynomial rings

DOI10.1016/j.jpaa.2023.107441arXiv2206.10872OpenAlexW4377246827WikidataQ122686856 ScholiaQ122686856MaRDI QIDQ6161092

Jerzy Matczuk, Paula A. A. B. Carvalho, Kenneth A. Brown

Publication date: 26 June 2023

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.10872

zbMATH Keywords

simple moduleskew polynomial ringNoetherian ringinjective module

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Twisted and skew group rings, crossed products (16S35) Noetherian rings and modules (associative rings and algebras) (16P40)

Cites Work

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• Injective modules over Noetherian rings
• Some model theory over hereditary Noetherian domains
• The simple modules of certain generalized crossed products
• Simple modules and their essential extensions for skew polynomial rings
• INJECTIVE MODULES FOR GROUP RINGS OF POLYCYCLIC GROUPS II
• The simple modules of the ore extensions with coefficients from a dedekind ring
• Primitivity of skew polynomial and skew laurent polynomial rings
• An Eisenstein Criterion for Noncommutative Polynomials

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