Strong Variety

A variety V of algebras is a strong variety provided that for each subvariety W of V, and each algebra A in V, if A is generated by its W- subalgebras, then A in W.

In strong varieties, sums of locally finite algebras are locally finite.

See also


This entry contributed by Matt Insall (author's link)

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Burris, S. and Sankappanavar, H. P. A Course in Universal Algebra. New York: Springer-Verlag, 1981.ätzer, G. Universal Algebra, 2nd ed. New York: Springer-Verlag, 1979.Insall, M. "Nonstandard Methods and Finiteness Conditions in Algebra." Zeitschr. f. Math., Logik, und Grundlagen d. Math. 37, 525-532, 1991.

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Strong Variety

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Insall, Matt. "Strong Variety." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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