Relatively residuated lattices and posets

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F20%3A73603279" target="_blank" >RIV/61989592:15310/20:73603279 - isvavai.cz</a>
Result on the web
<a href="https://obd.upol.cz/id_publ/333183165" target="_blank" >https://obd.upol.cz/id_publ/333183165</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1515/ms-2017-0347" target="_blank" >10.1515/ms-2017-0347</a>

Result language
angličtina
Original language name
Relatively residuated lattices and posets
Original language description
It is known that every relatively pseudocomplemented lattice is residuated and, moreover, it is distributive. Unfortunately, non-distributive lattices with a unary operation satisfying properties similar to relative pseudocomplementation cannot be converted in residuated ones. The aim of this paper is to introduce a more general concept of a relatively residuated lattice in such a way that also non-modular sectionally pseudocomplemented lattices are included. We derive several properties of relatively residuated lattices which are similar to those known for residuated ones and extend our results to posets.
Czech name
—
Czech description
—

Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GF20-09869L" target="_blank" >GF20-09869L: The many facets of orthomodularity</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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