Some matrices with nilpotent entries, and their determinants
Rings and Algebras
2007-05-23 v1 Differential Geometry
Abstract
We study algebraic properties of matrices whose rows are mutual neighbours, and are also neigbours of 0 ("neighbour" in the sense of a certain nilpotency condition). The intended application is in synthetic differential geometry. For a square matrix of this kind, the product of the diagonal entries equals the determinant, modulo a factor n!
Cite
@article{arxiv.math/0612435,
title = {Some matrices with nilpotent entries, and their determinants},
author = {Anders Kock},
journal= {arXiv preprint arXiv:math/0612435},
year = {2007}
}