Subquasivarieties of regularized varieties

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1996-12-01
Authors
Bergman, Clifford
Romanowska, A.
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Bergman, Clifford
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Mathematics
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Abstract

This paper considers the lattice of subquasivarieties of a regular variety. In particular we show that if V is a strongly irregular variety that is minimal as a quasivariety, then the smallest quasivariety containing both V and SI (the variety of semilattices) is never equal to the regularization V of V.

We use this result to describe the lattice of subquasivarieties of V in several special but quite common, cases and give a number of applications and examples.

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This article is published as Bergman, Clifford, and Anna Romanowska. "Subquasivarieties of regularized varieties." Algebra Universalis 36 (1996): 536-563. doi: 10.1007/BF01233924. Posted with permission.

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Mon Jan 01 00:00:00 UTC 1996
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