Vol. 15, No. 2, 1965

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Vol. 299: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Editorial Board
Subscriptions
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Author Index
To Appear
 
Other MSP Journals
Certain algebras of degree one

Frank James Kosier

Vol. 15 (1965), No. 2, 541–544
Abstract

In this note the following is proved: Suppose R is a finite-dimensional algebra over an algebraically closed field F of characteristic 0 whose associator satisfies 4(y,x,x) = 4(x,y,x) + [[y,x],x] and (x,x,x) = 0. If R is simple and non-nil then R is iso-morphic to F.

Mathematical Subject Classification
Primary: 17.10
Milestones
Received: 6 April 1964
Published: 1 June 1965
Authors
Frank James Kosier