Directoids with sectionally antitone involutions and skew MV-algebras

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F07%3A00004814" target="_blank" >RIV/61989592:15310/07:00004814 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Directoids with sectionally antitone involutions and skew MV-algebras

Original language description

It is well-known that every MV-algebra is a distributive lattice with respekt to induced order. Replacing this lattice by the so-called directoid(introduced by J. Ježek and R. Quackenbush) we obtain a weaker structure, the so-called skew MV-algebra. Thepaper is devoted to the axiomatization of skew MV-algebras, thein properties and description of the induced implication algebra.

Czech name

Direktoidy se sekčně antitonními involucemi a skew MV-algebry.

Czech description

Je známo, že každá MV-algebra je distributívní svaz. Nahradíme-li tento svaz direktoidem, získáme slabší strukturu, tzv. skew MV-algebru. Práce je věnována axiomatizaci skew MV-algeber, jejich vlastnostem a popisu indukovaných implikačních algeber.

Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2007

Confidentiality

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

Name of the periodical

Mathematica Bohemica

ISSN

0862-7959

e-ISSN

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Volume of the periodical

132

Issue of the periodical within the volume

4

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

16

Pages from-to

407-422

UT code for WoS article

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EID of the result in the Scopus database

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