Representations of strongly algebraically closed algebras

We introduce the notion of \(q^\prime\)-compactness for MV-algebras. One of the main results of the paper is a characterization of a class of orthomodular lattices that are horizontal sums of strongly algebraically closed algebras.

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Бібліографічні деталі
Дата:2019
Автори: Molkhasi, Ali, Shum, K. P.
Формат: Стаття
Мова:English
Опубліковано: Lugansk National Taras Shevchenko University 2019
Теми:
Онлайн доступ:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1242
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Назва журналу:Algebra and Discrete Mathematics

Репозитарії

Algebra and Discrete Mathematics
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record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-12422019-10-20T08:14:09Z Representations of strongly algebraically closed algebras Molkhasi, Ali Shum, K. P. Sheffer stroke basic algebra, horizontal sum, strongly algebraically closed algebra, algebraic realizations, MV-algebra, \(q^\prime\)-compact algebra 06D36, 06E05, 13L05. We introduce the notion of \(q^\prime\)-compactness for MV-algebras. One of the main results of the paper is a characterization of a class of orthomodular lattices that are horizontal sums of strongly algebraically closed algebras. Lugansk National Taras Shevchenko University 2019-10-20 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1242 Algebra and Discrete Mathematics; Vol 28, No 1 (2019) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1242/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1242/419 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1242/591 Copyright (c) 2019 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
collection OJS
language English
topic Sheffer stroke basic algebra
horizontal sum
strongly algebraically closed algebra
algebraic realizations
MV-algebra
\(q^\prime\)-compact algebra
06D36
06E05
13L05.
spellingShingle Sheffer stroke basic algebra
horizontal sum
strongly algebraically closed algebra
algebraic realizations
MV-algebra
\(q^\prime\)-compact algebra
06D36
06E05
13L05.
Molkhasi, Ali
Shum, K. P.
Representations of strongly algebraically closed algebras
topic_facet Sheffer stroke basic algebra
horizontal sum
strongly algebraically closed algebra
algebraic realizations
MV-algebra
\(q^\prime\)-compact algebra
06D36
06E05
13L05.
format Article
author Molkhasi, Ali
Shum, K. P.
author_facet Molkhasi, Ali
Shum, K. P.
author_sort Molkhasi, Ali
title Representations of strongly algebraically closed algebras
title_short Representations of strongly algebraically closed algebras
title_full Representations of strongly algebraically closed algebras
title_fullStr Representations of strongly algebraically closed algebras
title_full_unstemmed Representations of strongly algebraically closed algebras
title_sort representations of strongly algebraically closed algebras
description We introduce the notion of \(q^\prime\)-compactness for MV-algebras. One of the main results of the paper is a characterization of a class of orthomodular lattices that are horizontal sums of strongly algebraically closed algebras.
publisher Lugansk National Taras Shevchenko University
publishDate 2019
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1242
work_keys_str_mv AT molkhasiali representationsofstronglyalgebraicallyclosedalgebras
AT shumkp representationsofstronglyalgebraicallyclosedalgebras
first_indexed 2024-04-12T06:25:35Z
last_indexed 2024-04-12T06:25:35Z
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