TY - JOUR

T1 - Stone Dualities for Distributive Posets

AU - Schwidefsky, M. V.

N1 - M. V. Schwidefsky is supported by the Russian Science Foundation, project No. 22-21-00104; https://rscf.ru/project/22-21-00104/ .

PY - 2024/11

Y1 - 2024/11

N2 - 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 obtained by M. H. Stone for the category of distributive (0, 1)-lattices.

AB - 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 obtained by M. H. Stone for the category of distributive (0, 1)-lattices.

KW - ideal

KW - poset

KW - spectral space

KW - spectrum

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85205288710&origin=inward&txGid=3616fc07a1600e1485186281ecba3b56

UR - https://www.mendeley.com/catalogue/b2855e21-625d-36e9-915f-19147ac0d25a/

U2 - 10.1007/s10469-024-09756-z

DO - 10.1007/s10469-024-09756-z

M3 - Article

VL - 62

SP - 430

EP - 447

JO - Algebra and Logic

JF - Algebra and Logic

SN - 0002-5232

IS - 5

ER -