Finite topologies and their applications in linear algebra

DOI10.3103/s1066369x23010012OpenAlexW4367728656MaRDI QIDQ6132616

A. D. Maklakov, A. N. Abyzov

Publication date: 14 July 2023

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x23010012

zbMATH Keywords

discrete valuation ringfinite topologylocally algebraic operator

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Topological and ordered rings and modules (16W80) General theory of linear operators (47Axx)

Cites Work

• Automorphisms of the endomorphism algebra of a free module
• Infinite-dimensional diagonalization and semisimplicity
• Automorphisms of matrix algebras over commutative rings
• Infinite-dimensional triangularization
• Modules over discrete valuation rings
• Extremal matrix centralizers
• Automorphisms and derivations of algebras of infinite matrices
• On the Infinitude of Primes
• Corrigendum to ‘Every infinite triangular matrix is similar to a generalized infinite Jordan matrix’ (Linear Multilinear Algebra 65 (2017), 1362–1373)
• On a generalized Jordan form of an infinite upper triangular matrix
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