On lattices, modules and groups with many uniform elements
The uniform dimension, also known as Goldie dimension, can be defined and used not only in the class of modules, but also in large classes of lattices and groups. For considering this dimension it is necessary to involve uniform elements. In this paper we are going to discuss properties of lattices...
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| Дата: | 2018 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/981 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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oai:ojs.admjournal.luguniv.edu.ua:article-9812018-05-14T08:03:48Z On lattices, modules and groups with many uniform elements Krempa, Jan uniform element, locally uniform lattice, lattice of subgroups, lattice of submodules 06C99, 16S90, 20E15 The uniform dimension, also known as Goldie dimension, can be defined and used not only in the class of modules, but also in large classes of lattices and groups. For considering this dimension it is necessary to involve uniform elements. In this paper we are going to discuss properties of lattices with many uniform elements. Further, we examine these properties in the case of lattices of submodules and of subgroups. We also formulate some questions related to the subject of this note. Lugansk National Taras Shevchenko University 2018-05-14 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/981 Algebra and Discrete Mathematics; Vol 3, No 1 (2004) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/981/510 Copyright (c) 2018 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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| datestamp_date |
2018-05-14T08:03:48Z |
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OJS |
| language |
English |
| topic |
uniform element locally uniform lattice lattice of subgroups lattice of submodules 06C99 16S90 20E15 |
| spellingShingle |
uniform element locally uniform lattice lattice of subgroups lattice of submodules 06C99 16S90 20E15 Krempa, Jan On lattices, modules and groups with many uniform elements |
| topic_facet |
uniform element locally uniform lattice lattice of subgroups lattice of submodules 06C99 16S90 20E15 |
| format |
Article |
| author |
Krempa, Jan |
| author_facet |
Krempa, Jan |
| author_sort |
Krempa, Jan |
| title |
On lattices, modules and groups with many uniform elements |
| title_short |
On lattices, modules and groups with many uniform elements |
| title_full |
On lattices, modules and groups with many uniform elements |
| title_fullStr |
On lattices, modules and groups with many uniform elements |
| title_full_unstemmed |
On lattices, modules and groups with many uniform elements |
| title_sort |
on lattices, modules and groups with many uniform elements |
| description |
The uniform dimension, also known as Goldie dimension, can be defined and used not only in the class of modules, but also in large classes of lattices and groups. For considering this dimension it is necessary to involve uniform elements. In this paper we are going to discuss properties of lattices with many uniform elements. Further, we examine these properties in the case of lattices of submodules and of subgroups. We also formulate some questions related to the subject of this note. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/981 |
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AT krempajan onlatticesmodulesandgroupswithmanyuniformelements |
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2025-07-17T10:36:50Z |
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2025-07-17T10:36:50Z |
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