Pure injective envelopes of finite length modules over a generalized Weyl algebra

DOI10.1006/jabr.2001.9116zbMath1023.16003OpenAlexW2072557515WikidataQ122689207 ScholiaQ122689207MaRDI QIDQ1614647

Gennadi Puninski, M. Y. Prest

Publication date: 8 September 2002

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

Full work available at URL: https://semanticscholar.org/paper/b1b100f03cda4a63776928fbe99d00fffcc3e7d6

zbMATH Keywords

dualitiesdirect sumssimple modulescategories of modulesalmost split sequencespure-injective modulesfinite length modulesZiegler spectrapure-injective envelopesgeneralised Weyl algebrasuniserial homogeneous modules

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Injective modules, self-injective associative rings (16D50) Module categories in associative algebras (16D90) Ordinary and skew polynomial rings and semigroup rings (16S36) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Other classes of modules and ideals in associative algebras (16D80) Applications of logic in associative algebras (16B70)

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