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Factoring octonion polynomials

Adam Chapman

Department of Computer Science, Tel-Hai Academic College, Upper Galilee 12208, Israel

https://doi.org/10.1142/S0218196720500484Cited by:3 (Source: Crossref)

Abstract

We provide an analogue of Wedderburn’s factorization method for central polynomials with coefficients in an octonion division algebra, and present an algorithm for fully factoring polynomials of degree $n$ $n$ with $n$ conjugacy classes of roots, counting multiplicities.

Communicated by I. Shestakov

Keywords:

AMSC: 17A75, 17A45, 17A35, 17D05

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