Infinite-dimensional triangularization

DOI10.1016/j.jpaa.2017.07.010zbMath1383.15003arXiv1608.08282OpenAlexW2515891259MaRDI QIDQ1703576

Zachary Mesyan

Publication date: 2 March 2018

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

Full work available at URL: https://arxiv.org/abs/1608.08282

zbMATH Keywords

linear transformationJordan canonical form

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Linear transformations, semilinear transformations (15A04) Topological and ordered rings and modules (16W80) Canonical forms, reductions, classification (15A21)

Related Items (6)

On differential polynomial rings over locally nilpotent rings ⋮ Finite topologies and their applications in linear algebra ⋮ Locally algebraic linear operators and their centralizers ⋮ Ore extensions and infinite triangularization ⋮ Infinite-dimensional triangularizable algebras ⋮ On skew Laurent polynomial rings over locally nilpotent rings

Cites Work

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• Infinite-dimensional diagonalization and semisimplicity
• Simultaneous triangularization
• Infinite-dimensional versions of the primary, cyclic and Jordan decompositions
• On left Köthe rings and a generalization of a Köthe-Cohen-Kaplansky theorem
• A proof of a theorem on commutative matrices

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