Cayley Hamilton theorem with sandwich coefficients for n$\times$n matrices over a ring satisfying [x,y][u,v]=0

Details Cayley Hamilton theorem with sandwich coefficients for n$\times$n matrices over a ring satisfying [x,y][u,v]=0 Cayley Hamilton theorem with sandwich coefficients for n$\times$n matrices over a ring satisfying [x,y][u,v]=0

2011-06-16

arxiv.org/abs/1106.3223v1

Mathematics

Rings and Algebras

Scientific paper

If A is an n \times n matrix over a ring R satisfying the polynomial identity
[x,y][u,v]=0, then an invariant Cayley-Hamilton identity of the form
\Sigma A^{i}c_{i,j}A^{j}=0 with c_{i,j}\in R and c_{n,n}=(n!)^2 holds for A.

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