The Invariant Subspace Lattice of a Linear Transformation
Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 810-822

Voir la notice de l'article provenant de la source Cambridge University Press

The purpose of this paper is to study the lattice of invariant subspaces of a linear transformation on a finite-dimensional vector space over an arbitrary field. Among the topics discussed are structure theorems for such lattices, implications between linear-algebraic properties and lattice-theoretic properties, nilpotent transformations, and the conditions for the isomorphism of two such lattices. These topics correspond roughly to §§2, 3, 4, and 5 respectively.
Brickman, L.; Fillmore, P. A. The Invariant Subspace Lattice of a Linear Transformation. Canadian journal of mathematics, Tome 19 (1967) no. 1, pp. 810-822. doi: 10.4153/CJM-1967-075-4
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