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Strongly Abelian Varieties and the Hamiltonian Property

Published online by Cambridge University Press:  20 November 2018

E. Kiss  and
M. Valeriote
E. Kiss
Affiliation:
Mathematical Institute of the Hungarian Academy of Sciences 1364 Budapest, P. O. Box 12 Hungary
M. Valeriote
Affiliation:
Department of Mathematics and Statistics McMaster University, HamiltonOntario L8S4K1
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Abstract

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In this paper we show that every locally finite strongly Abelian variety satisfies the Hamiltonian property. An algebra is Hamiltonian if every one of its subuniverses is a block of some congruence of the algebra. A counterexample is provided to show that not all strongly Abelian varieties are Hamiltonian.

Keywords

08A05:03C05
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 43 , Issue 2 , 01 April 1991 , pp. 331 - 346
Copyright
Copyright © Canadian Mathematical Society 1991

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