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arXiv · 1411.6497

The lattice of algebraic closure operators

Martha Lee Hollist Kilpack
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Abstract

On an infinite set some closure operators are finitary (algebraic) while others are not. We can generalize this idea for a complete algebraic lattice letting the compact elements act as the finite sets. With this in mind, we will consider the set of algebraic closure operators on such a lattice. We will show this set forms a complete lattice that is also an algebraic lattice.

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Martha Lee Hollist Kilpack. 2014-11-20. The lattice of algebraic closure operators. https://arxiv.org/abs/1411.6497

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