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Rings in which derivations satisfy certain algebraic conditions

✍ 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

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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