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Inherently Nonfinitely Based Solvable Algebras

Published online by Cambridge University Press:  20 November 2018

Keith Kearnes  and
Ross Willard
Keith Kearnes
Affiliation:
Department of Mathematics, Harvey Mudd College Claremont, California 91711 U.S.A.
Ross Willard
Affiliation:
Department of Pure Mathematics, University of Waterloo Waterloo, Ontario N2L 3G1
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Abstract

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We prove that an inherently nonfinitely based algebra cannot generate an abelian variety. On the other hand, we show by example that it is possible for an inherently nonfinitely based algebra to generate a strongly solvable variety.

Keywords

08B05algebravarietyinherently nonfinitely basedHamiltonianstrongly solvable
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 37 , Issue 4 , 01 December 1994 , pp. 514 - 521
Copyright
Copyright © Canadian Mathematical Society 1994

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