Rings in which derivations satisfy certain algebraic conditions
β Scribed by H. E. Bell; L. C. Kappe
- Publisher
- Akadmiai Kiad
- Year
- 1989
- Tongue
- English
- Weight
- 488 KB
- Volume
- 53
- Category
- Article
- ISSN
- 1588-2632
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For each delta operator Q, we define a multiplication of polynomials of K [x] that makes Q a derivation in a suitable polynomial ring. We see that such derivation ring is isomorphic to K [x] with the usual derivative operator D. We supply a complete classification of the isomorphisms between these t
Let D be a division ring with centre k. We show that D contains the k-group algebra of the free group on two generators when D is the ring of fractions of a suitable skew polynomial ring, or it is generated by a polycyclic-by-finite group which is not abelian-by-finite, or it is the ring of fraction
Suppose E=F is a ΓΏeld extension. We ask whether or not there exists an element of E whose characteristic polynomial has one or more zero coe cients in speciΓΏed positions. We show that the answer is frequently "no". We also prove similar results for division algebras and show that the universal divis