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The Class of Rings Embeddable in Skew Fields

โœ 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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๐Ÿ“œ SIMILAR VOLUMES


Skew fields: theory of general division
โœ P. M. Cohn FRS ๐Ÿ“‚ Library ๐Ÿ“… 1995 ๐Ÿ› Cambridge University Press ๐ŸŒ English โš– 5 MB

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

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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

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โœ A.I. Lichtman ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 501 KB

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