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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 latti...
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Інститут прикладної математики і механіки НАН України
2004
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| Series: | Algebra and Discrete Mathematics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/155951 |
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irk-123456789-1559512019-06-18T01:30:59Z On lattices, modules and groups with many uniform elements Krempa, J. 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. 2004 Article On lattices, modules and groups with many uniform elements / J. Krempa // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 1. — С. 75–86. — Бібліогр.: 18 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 06C99, 16S90, 20E15. http://dspace.nbuv.gov.ua/handle/123456789/155951 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Krempa, J. |
| spellingShingle |
Krempa, J. On lattices, modules and groups with many uniform elements Algebra and Discrete Mathematics |
| author_facet |
Krempa, J. |
| author_sort |
Krempa, J. |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2004 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/155951 |
| citation_txt |
On lattices, modules and groups with many uniform elements / J. Krempa // Algebra and Discrete Mathematics. — 2004. — Vol. 3, № 1. — С. 75–86. — Бібліогр.: 18 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT krempaj onlatticesmodulesandgroupswithmanyuniformelements |
| first_indexed |
2023-05-20T17:48:35Z |
| last_indexed |
2023-05-20T17:48:35Z |
| _version_ |
1796154137959727104 |