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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| Дата: | 2019 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2019
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1242 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-1242 |
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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 |
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Algebra and Discrete Mathematics |
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| datestamp_date |
2019-10-20T08:14:09Z |
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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 |
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AT molkhasiali representationsofstronglyalgebraicallyclosedalgebras AT shumkp representationsofstronglyalgebraicallyclosedalgebras |
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2025-07-17T10:36:08Z |
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2025-07-17T10:36:08Z |
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