Basic Algebras, Logics, Trends and Applications

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F17%3A73583901" target="_blank" >RIV/61989592:15310/17:73583901 - isvavai.cz</a>

Výsledek na webu

<a href="http://eds.b.ebscohost.com/eds/pdfviewer/pdfviewer?vid=1&sid=457b5893-883b-407d-80ad-e7fec98a5d31%40sessionmgr103" target="_blank" >http://eds.b.ebscohost.com/eds/pdfviewer/pdfviewer?vid=1&sid=457b5893-883b-407d-80ad-e7fec98a5d31%40sessionmgr103</a>

DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

Basic Algebras, Logics, Trends and Applications

Popis výsledku v původním jazyce

The classical logics was axiotnatized algebraically by ineans of Boolean algebras in 19th century by George Boole. Similar attempts went on 20th century for algebraic axiomatization of non-classical logics, e.g. intuitionistic logics (Brouwer and Heyting algebras), many-valued logics (Iitikasiewicz, Chang&apos;s MV-algebras, Post algebras), the logic of quantum mechanics (orthomodular lattices and posets) and fuzzy logics (residuated lattices). In this paper, we are focused in a common generalization of MV-algebras and ortliottiod [flax lattices. The restiltitig algebras, called basic algebras, have surprisingly strong and interesting properties and they can be investigated in their own. The aim of the paper is to get an overview of results reached during the last decade.

Název v anglickém jazyce

Basic Algebras, Logics, Trends and Applications

Popis výsledku anglicky

The classical logics was axiotnatized algebraically by ineans of Boolean algebras in 19th century by George Boole. Similar attempts went on 20th century for algebraic axiomatization of non-classical logics, e.g. intuitionistic logics (Brouwer and Heyting algebras), many-valued logics (Iitikasiewicz, Chang&apos;s MV-algebras, Post algebras), the logic of quantum mechanics (orthomodular lattices and posets) and fuzzy logics (residuated lattices). In this paper, we are focused in a common generalization of MV-algebras and ortliottiod [flax lattices. The restiltitig algebras, called basic algebras, have surprisingly strong and interesting properties and they can be investigated in their own. The aim of the paper is to get an overview of results reached during the last decade.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

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OECD FORD obor

10101 - Pure mathematics

Projekt

<a href="/cs/project/EE2.3.20.0051" target="_blank" >EE2.3.20.0051: Algebraické metody v kvantové logice</a><br>

Návaznosti

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

Rok uplatnění

2017

Kód důvěrnosti údajů

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

Název periodika

Southeast Asian Bulletin of Mathematics

ISSN

0129-2021

e-ISSN

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Svazek periodika

41

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

HK - Hongkong

Počet stran výsledku

47

Strana od-do

321-367

Kód UT WoS článku

000411187700003

EID výsledku v databázi Scopus

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