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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

<a href="/cs/project/GF15-34697L" target="_blank" >GF15-34697L: Nové přístupy k reziduovaným posetům</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Journal of Algebra

ISSN

0021-8693

e-ISSN

—

Svazek periodika

450

Číslo periodika v rámci svazku

MAR

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

31

Strana od-do

173-203

Kód UT WoS článku

000375634800006

EID výsledku v databázi Scopus

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