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arxiv: 1310.6021 · v2 · pith:N5CTQTZAnew · submitted 2013-10-22 · 🧮 math.RA

Closure operators on algebras

classification 🧮 math.RA
keywords algebraalgebrasclosureconnectionsoperatorsalternativecongruencesdefined
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We study connections between closure operators on an algebra $(A,\Om)$ and congruences on the extended power algebra defined on the same algebra. We use these connections to give an alternative description of the lattice of all subvarieties of semilattice ordered algebras.

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