This article is cited in 1 paper

Stone dualities for distributive posets

M. V. Schwidefsky<sup>ab

a</sup> Novosibirsk State University
^b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: A topological duality result is established for the category of distributive $c$-posets defined in this paper, as well as for some of its important full subcategories. All duality results presented extend the well-known topological duality result established by M. H. Stone for the category of distributive $(0,1)$-lattices.

Keywords: poset, ideal, spectrum, spectral space.

UDC: 512.56

Received: 16.08.2022
Revised: 28.08.2024

DOI: 10.33048/alglog.2023.62.504

 English version: Algebra and Logic, 2023, 62:5, 430–447