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- W1652808810 abstract "In this paper, we present an isomorphism between the ring of general polynomials over a division ring of degree $p$ over its center $F$ and the group ring of the free monoid with $p^2$ variables. Using this isomorphism, we define the characteristic polynomial of a matrix over any division algebra, i.e. a general polynomial with one variable over the algebra whose roots are precisely the left eigenvalues. Plus, we show how the left eigenvalues of a $4 times 4$ matrices over any division algebra can be found by solving a general polynomial equation of degree 6 over that algebra." @default.
- W1652808810 created "2016-06-24" @default.
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- W1652808810 date "2012-01-01" @default.
- W1652808810 modified "2023-09-26" @default.
- W1652808810 title "General polynomials over division algebras and left eigenvalues" @default.
- W1652808810 doi "https://doi.org/10.13001/1081-3810.1535" @default.
- W1652808810 hasPublicationYear "2012" @default.
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