Ore extensions and infinite triangularization

DOI10.1016/j.jalgebra.2020.12.013zbMath1467.16023arXiv2007.12512OpenAlexW3114176909MaRDI QIDQ2222007

Jeremy R. Edison, Alex Sistko, Miodrag Cristian Iovanov

Publication date: 3 February 2021

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

Full work available at URL: https://arxiv.org/abs/2007.12512

zbMATH Keywords

triangularizationOre extensionsOre algebrasnil algebrasemiartinian modulelocally-finite moduleOre solvable algebrasstrict triangularization

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Ordinary and skew polynomial rings and semigroup rings (16S36) Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Generalizations of commutativity (associative rings and algebras) (16U80) Algebraic systems of matrices (15A30) Canonical forms, reductions, classification (15A21) Ore rings, multiplicative sets, Ore localization (16U20) Noetherian rings and modules (associative rings and algebras) (16P40)

Cites Work

• Infinite-dimensional diagonalization and semisimplicity
• Infinite-dimensional triangularizable algebras
• On differential polynomial rings over locally nilpotent rings
• Infinite-dimensional triangularization
• Maximal subalgebras of finite-dimensional algebras
• An infinite dimensional affine nil algebra with finite Gelfand-Kirillov dimension
• Introduction to Lie Algebras and Representation Theory
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