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Turkish Journal of Mathematics

Abstract

We introduce the notion of topogenous orders on a poset X to be certain endomaps on X. We build on a Galois connection between endomaps and binary relations on X and study relationships between endomap properties and corresponding relational properties. In particular, we determine the topogenous orders that are in a one-to-one correspondence with (idempotent) closure operators.

DOI

10.55730/1300-0098.3519

Keywords

cartesian closed category, closure operator, meet-complete semilattice, Poset, topogenous order

First Page

469

Last Page

476

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