A topological duality for strong Boolean posets

In: Mathematica Slovaca, vol. 69, no. 3

Zhenzhu Yuan - Qingguo Li

Detaily:

Rok, strany: 2019, 497 - 506

Kľúčové slová:

poset, ideal-distributive, complement, topological representation

DOI: https://doi.org/10.1515/ms-2017-0242

O článku:

In this paper, we define a new class of posets which are complemented and ideal-distributive, we call these posets strong Boolean. This definition is a generalization of Boolean lattices on posets, and is different from Boolean posets. We give a topology on the set of all prime Frink ideals in order to obtain the Stone's topological representation for strong Boolean posets. A discussion of a duality between the categories of strong Boolean posets and $\mathrm{BP}$-spaces is also presented.

Ako citovať:

ISO 690:

Yuan, Z., Li, Q. 2019. A topological duality for strong Boolean posets. In Mathematica Slovaca, vol. 69, no.3, pp. 497-506. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0242

APA:

Yuan, Z., Li, Q. (2019). A topological duality for strong Boolean posets. Mathematica Slovaca, 69(3), 497-506. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0242

O vydaní:

Publikované: 21. 5. 2019