The norm of a skew polynomial. (English) Zbl 1506.16030
Inspired by the criterion of irreducibility of skew polynomials over a finite field given in [X. Caruso and J. Le Borgne, J. Symb. Comput. 79, Part 2, 411–443 (2017; Zbl 1373.16046)], this paper investigates some situations where a norm function from a skew polynomial ring over a division ring to a suitable commutative polynomial ring gives information on the factorizations of skew polynomials.
Reviewer: José Gómez Torrecillas (Granada)
MSC:
| 16S36 | Ordinary and skew polynomial rings and semigroup rings |
Citations:
Zbl 1373.16046References:
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