Some matrices with nilpotent entries, and their determinants

Details Some matrices with nilpotent entries, and their determinants Some matrices with nilpotent entries, and their determinants

2006-12-15

arxiv.org/abs/math/0612435v1

Mathematics

Rings and Algebras

Scientific paper

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!

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