Special filters in bounded lattices

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F25%3A73633127" target="_blank" >RIV/61989592:15310/25:73633127 - isvavai.cz</a>
Result on the web
<a href="https://www.degruyterbrill.com/document/doi/10.1515/ms-2025-0054/html" target="_blank" >https://www.degruyterbrill.com/document/doi/10.1515/ms-2025-0054/html</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/ms-2025-0054" target="_blank" >10.1515/ms-2025-0054</a>

Result language
angličtina
Original language name
Special filters in bounded lattices
Original language description
This paper investigates special types of filters in bounded lattices that are not necessarily distributive or pseudocomplemented. The authors introduce a generalized notion of pseudocomplementation based on annihilators and study its fundamental properties. Using this approach, several classes of filters, including D-filters, coherent, closed, prime, and median filters, are defined and analyzed. Particular attention is paid to Stonean and D-Stonean lattices, where stronger relationships between lattice structure and filter behavior can be established. The results demonstrate how structural properties of bounded lattices influence the form of their filters and, conversely, how filters reflect essential features of the underlying lattice.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GF25-20013L" target="_blank" >GF25-20013L: Orthogonality and Symmetry</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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