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Article
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Transactions of the American Mathematical Society
Article . 1961 . Peer-reviewed
Data sources: Crossref
Transactions of the American Mathematical Society
Article . 1961 . Peer-reviewed
Data sources: Crossref
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On Differentiably Simple Algebras

On differentiably simple algebras
Authors: Harper, Laurence R. jun.;

On Differentiably Simple Algebras

Abstract

tive power-associative algebra of degree t> 2 over an algebraically closed field a of characteristic p> 5 is a Jordan algebra. Moreover, in the partially stable case, a characterization of the simple algebras of degree two is given by Albert in [3]. In his theory Albert expresses the structure of simple partially stable algebras in terms of certain commutative associative algebras 23 over a. These commutative associative algebras have unity elements, and each algebra Q3 is differentiably simple relative to some set of derivations of e3 over 0. In this paper we shall determine the structure of the algebras e and derive a property of simple partially stable algebras which follows from Albert's characterization. Let e3 be a commutative associative algebra with unity element e over

Keywords

Automorphisms, derivations, other operators (nonassociative rings and algebras)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
20
Average
Top 10%
Average
bronze