The Invariant Subspace Lattice of a Linear Transformation
1967 ◽
Vol 19
◽
pp. 810-822
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Keyword(s):
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.
1982 ◽
Vol 25
(2)
◽
pp. 133-139
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1986 ◽
Vol 69
(4)
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pp. 37-46
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1982 ◽
Vol 86
◽
pp. 229-248
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1985 ◽
Vol 28
(3)
◽
pp. 319-331
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