A Stone-type duality for semilattices with adjunctions

Autor:	Gimenez, B., Pelaitay, G., Zuluaga, W.
Rok vydání:	2024
Předmět:	Mathematics - Logic
Druh dokumentu:	Working Paper
Popis:	This paper focuses on semilattices with adjunctions (SLatas), which are semilattices with a greatest element enriched with a pair of adjoint maps. We develop a spectral-style duality for SLatas, building on prior topological dualities for monotone semilattices. As an application of this duality, we characterize SLata congruences through an adaptation of lower-Vietoris-type families. Furthermore, we investigate tense operators on semilattices with a greatest element, deriving a duality for this case by extending the results obtained for SLatas. Comment: arXiv admin note: text overlap with arXiv:2109.01728 by other authors
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.02063 Zobrazit plný text záznamu View this record from Arxiv