MONOLITHIC MODULES OVER NOETHERIAN RINGS

DOI10.1017/S0017089511000267zbMath1258.16003arXiv1001.1466OpenAlexW2963090926MaRDI QIDQ3094651

Ian M. Musson, Paula A. A. B. Carvalho

Publication date: 25 October 2011

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

Full work available at URL: https://arxiv.org/abs/1001.1466

zbMATH Keywords

simple modulesNoetherian ringsinjective hullsNoetherian down-up algebraslocally Artinian modulesmonolithic modules

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Artinian rings and modules (associative rings and algebras) (16P20) Noetherian rings and modules (associative rings and algebras) (16P40)

Related Items (9)

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 ⋮ Stable rank of down-up algebras ⋮ On cyclic essential extensions of simple modules over differential operator rings ⋮ Injective hulls of simple modules over nilpotent Lie color algebras ⋮ Locally finite representations over Noetherian Hopf algebras

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