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Stone Dualities for Distributive Posets. / Schwidefsky, M. V.

In: Algebra and Logic, Vol. 62, No. 5, 11.2024, p. 430-447.

Research output: Contribution to journal › Article › peer-review

Harvard

Schwidefsky, MV 2024, 'Stone Dualities for Distributive Posets', Algebra and Logic, vol. 62, no. 5, pp. 430-447. https://doi.org/10.1007/s10469-024-09756-z

APA

Schwidefsky, M. V. (2024). Stone Dualities for Distributive Posets. Algebra and Logic, 62(5), 430-447. https://doi.org/10.1007/s10469-024-09756-z

Vancouver

Schwidefsky MV. Stone Dualities for Distributive Posets. Algebra and Logic. 2024 Nov;62(5):430-447. doi: 10.1007/s10469-024-09756-z

Author

Schwidefsky, M. V. / Stone Dualities for Distributive Posets. In: Algebra and Logic. 2024 ; Vol. 62, No. 5. pp. 430-447.

BibTeX

@article{66ba5d21ba0b40009b6f58a856e364c3,
title = "Stone Dualities for Distributive Posets",
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 obtained by M. H. Stone for the category of distributive (0, 1)-lattices.",
keywords = "ideal, poset, spectral space, spectrum",
author = "Schwidefsky, {M. V.}",
note = "M. V. Schwidefsky is supported by the Russian Science Foundation, project No. 22-21-00104; https://rscf.ru/project/22-21-00104/ .",
year = "2024",
month = nov,
doi = "10.1007/s10469-024-09756-z",
language = "English",
volume = "62",
pages = "430--447",
journal = "Algebra and Logic",
issn = "0002-5232",
publisher = "Springer US",
number = "5",

}

RIS

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 -

ID: 60724339