New Results for Algebraic Lattices Full article
| Journal |
Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302 |
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| Output data | Year: 2025, Volume: 64, Number: 2, Pages: 135-143 Pages count : 9 DOI: 10.1007/s10469-026-09820-w | ||||
| Tags | algebraic lattice, join semilattice, categorical duality, ideal lattice | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Министерство науки и высшего образования РФ | FWNF-2026-0032 |
Abstract:
We establish a duality between the category of algebraic lattices with complete lattice homomorphisms as morphisms and the category of join semilattices whose morphisms are join-semilattice homomorphisms possessing an additional refinement property. We draw several conclusions from this duality to benefit Lattice Theory.
Cite:
Dziobiak W.
, Schwidefsky M.V.
New Results for Algebraic Lattices
Algebra and Logic. 2025. V.64. N2. P.135-143. DOI: 10.1007/s10469-026-09820-w WOS Scopus OpenAlex
New Results for Algebraic Lattices
Algebra and Logic. 2025. V.64. N2. P.135-143. DOI: 10.1007/s10469-026-09820-w WOS Scopus OpenAlex
Dates:
| Submitted: | Dec 30, 2025 |
| Accepted: | Jan 21, 2026 |
| Published online: | Mar 11, 2026 |
Identifiers:
| ≡ Web of science: | WOS:001711135500001 |
| ≡ Scopus: | 2-s2.0-105033293962 |
| ≡ OpenAlex: | W7134981302 |