Algebraists have studied noncommutative fields (also called skew fields or division rings) less thoroughly than their commutative counterparts. Most existing accounts have been confined to division algebras, i.e. skew fields that are finite dimensional over their center. This work offers the first c
The Class of Rings Embeddable in Skew Fields
โ Scribed by Cohn, P. M.
- Book ID
- 120094616
- Publisher
- Oxford University Press
- Year
- 1974
- Tongue
- English
- Weight
- 58 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0024-6093
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๐ SIMILAR VOLUMES
Efficient algorithms are presented for factoring polynomials in the skew-polynomial ring F[x; ฯ], a non-commutative generalization of the usual ring of polynomials F[x], where F is a finite field and ฯ: F โ F is an automorphism (iterated Frobenius map). Applications include fast functional decomposi
In this first in a series of two papers we construct a family of discrete valuations in group rings of residually torsion-free nilpotent groups and extend these valuations to the Malcev-Neumann power series skew fields of these group rings. We apply these valuations to the study of these skew fields