Publication
Title
Generalized spectra and applications to finite distributive lattices
Author
Abstract
In our previous paper on frames of continuous functions, the classical adjunction between topological spaces and frames was generalized to a setup in which an arbitrary topological frame replaces the two element chain. The relevant composition of adjoints yields an endofunctor on topological spaces which in general fails to be idempotent. In this paper we prove a formula for iterations of this functor under certain conditions. We apply our result to the construction of finite free distributive lattices and Boolean algebras.
Language
English
Source (journal)
Journal of pure and applied algebra. - Amsterdam
Publication
Amsterdam : 2024
ISSN
0022-4049
DOI
10.1016/J.JPAA.2023.107588
Volume/pages
128 :6 (24) , p. 1-10
Article Reference
107588
ISI
001149560600001
Full text (Publisher's DOI)
Full text (open access)
The author-created version that incorporates referee comments and is the accepted for publication version Available from 27.06.2024
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Project info
Foundations for Higher and Curved Noncommutative Algebraic Geometry (FHiCuNCAG).
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Web of Science
Record
Identifier
Creation 18.02.2024
Last edited 11.04.2024
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