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

الأصل · EN

If A is an n × n matrix over a ring R satisfying the polynomial identity [x,y][u,v]=0, then an invariant Cayley-Hamilton identity of the form ΣAⁱcᵢ,ⱼAʲ=0 with cᵢ,ⱼ∈ R and cₙ,ₙ=(n!)² holds for A.