Annihilators in normal autometrized algebras

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F01%3A00001294" target="_blank" >RIV/61989592:15310/01:00001294 - 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

Annihilators in normal autometrized algebras

Original language description

The concepts of an annihilator and a relative annihilator in an autometrized l-algebra are introduced. It is shown that every relative annihilator in a normal autometrized l-algebra A is an ideal of A and every principal ideal of A is an annihilator of A. The set of all annihilators of A forms a complete lattice. The concept of an I-polar is introduced for every ideal I of A. The set of all I-polarsis a complete lattice which becomes a two-element chain provided I is prime.The I-polars are characterizedas pseudocomplementsin the lattice of all ideals of A containing I.

Czech name

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Czech description

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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

2001

Confidentiality

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

Name of the periodical

Czechoslovak Mathematical Journal

ISSN

0011-4642

e-ISSN

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Volume of the periodical

51

Issue of the periodical within the volume

N

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

10

Pages from-to

111-120

UT code for WoS article

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EID of the result in the Scopus database

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