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

2011/06/16 by Jenö Szigeti, Jeno Szigeti, Szigeti, Jeno
Computer Science · Mathematics · #Advanced Topics in Algebra #Holomorphic and Operator Theory #Matrix Theory and Algorithms #math.RA

paper · pdf · doi:10.48550/arxiv.1106.3223

arxiv created 2011/06/16 · arxiv updated 2011/06/17

Abstract

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 ΣAⁱc_i,jA^j=0 with c_i,j∈ R and c_n,n=(n!)² holds for A.

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