Structural matrix algebras and their lattices of invariant subspaces

DOI10.1016/j.laa.2004.05.009zbMath1068.15014OpenAlexW2114588098MaRDI QIDQ1765885

George Phillip Barker, Marcel Wild, Mustafa Akkurt

Publication date: 23 February 2005

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.05.009

zbMATH Keywords

invariant subspacedistributive latticestructural matrix algebra

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Eigenvalues, singular values, and eigenvectors (15A18) Structure and representation theory of distributive lattices (06D05) Algebraic systems of matrices (15A30)

Related Items (6)

On incidence algebras and their representations ⋮ Jordan homomorphisms of the structural matrix algebras ⋮ Frobenius structural matrix algebras. ⋮ HOMOGENEOUS BIJECTIONS THAT INDUCE AUTOMORPHISMS OF THE SUBMODULE LATTICE ⋮ When are homogeneous functions linear? A lattice point of view. ⋮ Incidence algebras that are uniquely determined by their zero-nonzero matrix pattern.

Cites Work

• The asymptotic number of inequivalent binary codes and nonisomorphic binary matroids
• When are homogeneous functions linear? A lattice point of view.
• Simultaneous triangularization
• Acyclic modular lattices and their representations
• Reflexive Lattices of Subspaces
• Operators of Rank One in Reflexive Algebras
• Automorphic Images of Commutative Subspace Lattices
• MATRIX RINGS OF INVARIANT SUBSPACES
• Distinguished Rings of Linear Transformations
• Ten problems in Hilbert space
• On a Galois Connection Between Algebras of Linear Transformations and Lattices of Subspaces of a Vector Space
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