| Autor: |
ŠLAPAL, Josef, RICHMOND, Tom, IRAGI, Minani |
| Předmět: |
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| Zdroj: |
Turkish Journal of Mathematics; 2024, Vol. 48 Issue 3, p469-476, 9p |
| Abstrakt: |
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. Extending our considerations to the categorical level, we find a cartesian closed category of topogenous systems. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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