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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Locally solvable factors of varieties

Author: Keith A. Kearnes
Journal: Proc. Amer. Math. Soc. 124 (1996), 3619-3625
MSC (1991): Primary 08B25; Secondary 08A05
MathSciNet review: 1343705
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Abstract: We give necessary and sufficient local conditions, which are easy to check, for a locally finite variety $\cal V$ to decompose as the product of a locally solvable subvariety $\cal U$ and a subvariety $\cal W$ which has type set disjoint from the type set of $\cal U$.

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Additional Information

Keith A. Kearnes
Affiliation: Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701

Received by editor(s): September 7, 1994
Received by editor(s) in revised form: June 5, 1995
Additional Notes: Research supported by a fellowship from the Alexander von Humboldt Stiftung.
Communicated by: Lance W. Small
Article copyright: © Copyright 1996 American Mathematical Society