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On the Factorization of Certain Polynomials

✍ Scribed by Harry Hochstadt

Book ID: 124934367
Publisher: Society for Industrial and Applied Mathematics
Year: 1960
Tongue: English
Weight: 442 KB
Volume: 2
Category: Article
ISSN: 0036-1445
DOI: 10.2307/2027371

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We prove that, after multiplication with a suitable monomial, every homogeneous bracket polynomial of rank r > 3 can be factored into a meet and join expression in the Cayley algebra. The main tool in our construction is an explicit algorithm for rewriting polynomial functions in terms of synthetic