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Skew polynomial rings over 2-primal rings

โœ Scribed by Marks, Greg


Book ID
120401272
Publisher
Taylor and Francis Group
Year
1999
Tongue
English
Weight
489 KB
Volume
27
Category
Article
ISSN
0092-7872

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๐Ÿ“œ SIMILAR VOLUMES


Factoring in Skew-polynomial Rings over
โœ M. Giesbrecht ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 716 KB

Efficient algorithms are presented for factoring polynomials in the skew-polynomial ring F[x; ฯƒ], a non-commutative generalization of the usual ring of polynomials F[x], where F is a finite field and ฯƒ: F โ†’ F is an automorphism (iterated Frobenius map). Applications include fast functional decomposi

Polynomial Rings over Goldie Rings
โœ Ramon Antoine; Ferran Cedรณ ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 99 KB

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.