Skew polynomial rings over orders in Artinian rings
β Scribed by Arun Vinayak Jategaonkar
- Publisher
- Elsevier Science
- Year
- 1972
- Tongue
- English
- Weight
- 471 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
Efficient algorithms are presented for factoring polynomials in the skew-polynomial ring F[x; Ο], a non-commutative generalization of the usual ring of polynomials F[x], where F is a finite field and Ο: F β F is an automorphism (iterated Frobenius map). Applications include fast functional decomposi
For each finite field K, we construct a commutative Goldie K-algebra R such that the polynomial ring R x is not a Goldie ring. This generalizes a construction of Kerr.
We deal in this paper with Bezout orders R in semisimple artinian rings Q such that R / J ( R ) is semisimple artinian and call these orders valuation rings. This name can be justified if one considers on the one hand the various notions of valuations and valuation rings used in Number Theory, in Al