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Commutative matrix subalgebras and length function
- Source :
- Linear Algebra and its Applications. (7):1790-1805
- Publisher :
- Elsevier Inc.
-
Abstract
- It is proved that if the length of a commutative matrix subalgebra is maximal then this subalgebra is maximal under inclusion. The examples are given showing that the converse does not hold. To establish this result, we prove several fundamental properties of the length function.
- Subjects :
- Numerical Analysis
Pure mathematics
Algebra and Number Theory
Finite-dimensional algebras
Mathematics::Operator Algebras
Mathematics::Rings and Algebras
Subalgebra
Length function
Matrix (mathematics)
Commutative matrix algebras
Matrix algebra
Mathematics::Quantum Algebra
Matrix function
Converse
Discrete Mathematics and Combinatorics
Geometry and Topology
Commutative algebra
Mathematics::Representation Theory
Matrix length
Commutative property
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 00243795
- Issue :
- 7
- Database :
- OpenAIRE
- Journal :
- Linear Algebra and its Applications
- Accession number :
- edsair.doi.dedup.....874b3ed685f3fb94fd4782ccd2c3a5fa
- Full Text :
- https://doi.org/10.1016/j.laa.2008.07.010