Linear algebra in lattices, the Fitting lemma
环与代数
2007-05-23 v1 综合数学
摘要
Lattice theoretical generalizations of some classical linear algebra results are formulated. A vector space is replaced by its subspace lattice and a linear map is replaced by the induced lattice map. This map is a complete join homomorphism and satisfies some additional natural conditions. The object of our study is a pair consisting of a complete lattice and one of its complete join endomorphisms. We prove the Fitting lemma for such a pair.
引用
@article{arxiv.math/0703253,
title = {Linear algebra in lattices, the Fitting lemma},
author = {Jeno Szigeti},
journal= {arXiv preprint arXiv:math/0703253},
year = {2007}
}
备注
6 pages