The Conrad program: From l-groups to algebras of logic

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F16%3A33156122" target="_blank" >RIV/61989592:15310/16:33156122 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0021869315005566" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0021869315005566</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jalgebra.2015.10.015" target="_blank" >10.1016/j.jalgebra.2015.10.015</a>

Result language
angličtina
Original language name
The Conrad program: From l-groups to algebras of logic
Original language description
A number of research articles have established the significant role of l-groups in logic. The fact that underpins these studies is the realization that important algebras of logic may be viewed as l-groups with a modal operator. These connections are just the tip of the iceberg. The purpose of the present article is to lay the groundwork for, and provide significant initial contributions to, the development of a Conrad type approach to the study of algebras of logic. The term Conrad program refers to Paul Conrad's approach to the study of l-groups, which analyzes the structure of individual or classes of l-groups by primarily using strictly lattice theoretic properties of their lattices of convex l-subgroups. The present article demonstrates that large parts of the Conrad program can be profitably extended in the setting of e-cyclic residuated lattices. An indirect benefit of this work is the introduction of new tools and techniques in the study of algebras of logic, and the enhanced role of the lattice of convex subalgebras of a residuated lattice.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GF15-34697L" target="_blank" >GF15-34697L: New perspectives on residuated posets</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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