Lattice groups
In this paper, we introduce some algebraic structure associated with groups and lattices. This structure is a semigroup and it appeared as the result of our new approach to the fuzzy groups and \(L\)-fuzzy groups where \(L\) is a lattice. This approach allows us to employ more convenient language of...
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| Дата: | 2015 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2015
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/103 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-1032015-11-10T19:25:54Z Lattice groups Kurdachenko, Leonid A. Yashchuk, Viktoriia S. Subbotin, Igor Yakov group, lattice, distributive lattice, fuzzy group, semigroup 20M10, 06D99, 20M99 In this paper, we introduce some algebraic structure associated with groups and lattices. This structure is a semigroup and it appeared as the result of our new approach to the fuzzy groups and \(L\)-fuzzy groups where \(L\) is a lattice. This approach allows us to employ more convenient language of algebraic structures instead of currently accepted language of functions. Lugansk National Taras Shevchenko University 2015-11-09 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/103 Algebra and Discrete Mathematics; Vol 20, No 1 (2015): A special issue 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/103/pdf Copyright (c) 2015 Algebra and Discrete Mathematics |
| institution |
Algebra and Discrete Mathematics |
| collection |
OJS |
| language |
English |
| topic |
group lattice distributive lattice fuzzy group semigroup 20M10 06D99 20M99 |
| spellingShingle |
group lattice distributive lattice fuzzy group semigroup 20M10 06D99 20M99 Kurdachenko, Leonid A. Yashchuk, Viktoriia S. Subbotin, Igor Yakov Lattice groups |
| topic_facet |
group lattice distributive lattice fuzzy group semigroup 20M10 06D99 20M99 |
| format |
Article |
| author |
Kurdachenko, Leonid A. Yashchuk, Viktoriia S. Subbotin, Igor Yakov |
| author_facet |
Kurdachenko, Leonid A. Yashchuk, Viktoriia S. Subbotin, Igor Yakov |
| author_sort |
Kurdachenko, Leonid A. |
| title |
Lattice groups |
| title_short |
Lattice groups |
| title_full |
Lattice groups |
| title_fullStr |
Lattice groups |
| title_full_unstemmed |
Lattice groups |
| title_sort |
lattice groups |
| description |
In this paper, we introduce some algebraic structure associated with groups and lattices. This structure is a semigroup and it appeared as the result of our new approach to the fuzzy groups and \(L\)-fuzzy groups where \(L\) is a lattice. This approach allows us to employ more convenient language of algebraic structures instead of currently accepted language of functions. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2015 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/103 |
| work_keys_str_mv |
AT kurdachenkoleonida latticegroups AT yashchukviktoriias latticegroups AT subbotinigoryakov latticegroups |
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2024-04-12T06:25:33Z |
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2024-04-12T06:25:33Z |
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1796109204482686976 |