Structure of algebras

DOI10.1080/03081088008817359zbMath0443.15006OpenAlexW2067337137MaRDI QIDQ3885863

Robert M. Guralnick

Publication date: 1980

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081088008817359

zbMATH Keywords

triangularization of sets of matrices

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Canonical forms, reductions, classification (15A21)

Related Items (21)

Simultaneous reduction of sets of matrices under similarity ⋮ Power-exact, nilpotent, homogeneous matrices ⋮ On \(F\)-algebras of algebraic matrices over a subfield \(F\) of the center of a division ring ⋮ Triangularizable semigroups of matrices ⋮ On Rings of Matrices Over Division Rings ⋮ Self-adjoint semigroups with nilpotent commutators ⋮ GRASSMANNIAN SEMIGROUPS AND THEIR REPRESENTATIONS ⋮ On simultaneous triangularization of collections of compact operators ⋮ The structure of irreducible matrix groups with submultiplicative spectrum ⋮ Two generator subalgebras of Lie algebras ⋮ The pseudovariety of semigroups of triangular matrices over a finite field ⋮ Common fixed points and common eigenvectors for sets of matrices ⋮ Operator semigroups with quasinilpotent commutators ⋮ Common invariant subspaces from small commutators ⋮ Nilpotent commutators and reducibility of semigroups ⋮ Spectral conditions on Lie and Jordan algebras of compact operators ⋮ On irreducible semigroups of matrices with traces in a subfield ⋮ Reduction theorems for groups of matrices ⋮ On triangularizability of the commutant of a single matrix ⋮ Some aspects of Olga Taussky's work in algebra ⋮ A finiteness lemma, brauer's theorem and other iIrreducibility results

Cites Work

• Unnamed Item
• On L-groups
• On L-semi-groups
• On the characteristic roots of matric polynomials
• A characterization of normal matrices

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