Geodesic
Stone dualities for distributive posets
Algebra i logika, Tome 62 (2023) no. 5, pp. 637-664

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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. 
@article{AL_2023_62_5_a3,
     author = {M. V. Schwidefsky},
     title = {Stone dualities for distributive posets},
     journal = {Algebra i logika},
     pages = {637--664},
     publisher = {mathdoc},
     volume = {62},
     number = {5},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2023_62_5_a3/}
}
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M. V. Schwidefsky. Stone dualities for distributive posets. Algebra i logika, Tome 62 (2023) no. 5, pp. 637-664. http://geodesic.mathdoc.fr/item/AL_2023_62_5_a3/