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Evaluation and interpolation over multivariate skew polynomial rings
[article]
2018
arXiv
pre-print
The concepts of evaluation and interpolation are extended from univariate skew polynomials to multivariate skew polynomials, with coefficients over division rings. Iterated skew polynomial rings are in general not suitable for this purpose. Instead, multivariate skew polynomial rings are constructed in this work as follows: First, free multivariate skew polynomial rings are defined, where multiplication is additive on degrees and restricts to concatenation for monomials. This allows to define
arXiv:1710.09606v2
fatcat:os72tj22afebpf3k5xkzvplnqm