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APAL
1999

A Geometric Consequence of Residual Smallness

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A Geometric Consequence of Residual Smallness
We describe a new way to construct large subdirectly irreducibles within an equational class of algebras. We use this construction to show that there are forbidden geometries of multitraces for finite algebras in residually small equational classes. The construction is first applied to show that minimal equational classes generated by simple algebras of types 2, 3 or 4 are residually small if and only if they are congruence modular. As a second application of the construction we characterize residually small locally finite abelian equational classes.
Keith A. Kearnes, Emil W. Kiss, Matthew Valeriote
Added 22 Dec 2010
Updated 22 Dec 2010
Type Journal
Year 1999
Where APAL
Authors Keith A. Kearnes, Emil W. Kiss, Matthew Valeriote
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