INJECTIVE MODULES OVER DOWN-UP ALGEBRAS

DOI10.1017/S0017089510000261zbMath1213.16013arXiv0906.2930WikidataQ114117410 ScholiaQ114117410MaRDI QIDQ3577718

D. Pusat-Yilmaz, Christian Lomp, Paula A. A. B. Carvalho

Publication date: 23 July 2010

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0906.2930

zbMATH Keywords

simple modulesinjective hullscentral subalgebrasNoetherian down-up algebrasmodule-finite algebraslocally Artinian modulesfully bounded rings

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Injective modules, self-injective associative rings (16D50) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Rings of differential operators (associative algebraic aspects) (16S32) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

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Injective Hulls of Simple Modules over Differential Operator Rings ⋮ Commutative non-Noetherian rings with the diamond property ⋮ Simple modules and their essential extensions for skew polynomial rings ⋮ A NOTE ON SIMPLE MODULES OVER QUASI-LOCAL RINGS ⋮ Injective hulls of simple modules over finite dimensional nilpotent complex Lie superalgebras ⋮ On cyclic essential extensions of simple modules over differential operator rings ⋮ MONOLITHIC MODULES OVER NOETHERIAN RINGS ⋮ When Essential Extensions of Finitely Generated Modules are Finitely Generated ⋮ Injective hulls of simple modules over nilpotent Lie color algebras ⋮ Locally finite representations over Noetherian Hopf algebras

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