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 goin...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
|---|---|
| Datum: | 2004 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут прикладної математики і механіки НАН України
2004
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/155951 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862533023494307840 |
|---|---|
| author | Krempa, J. |
| author_facet | Krempa, J. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
|
| first_indexed | 2025-11-24T06:35:19Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-155951 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-11-24T06:35:19Z |
| publishDate | 2004 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Krempa, J. 2019-06-17T15:48:08Z 2019-06-17T15:48:08Z 2004 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. https://nasplib.isofts.kiev.ua/handle/123456789/155951 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. Many thanks to Piotr Grzeszczuk for his helpful remarks on preliminary version
 of Section 3 of this paper. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On lattices, modules and groups with many uniform elements Article published earlier |
| spellingShingle | On lattices, modules and groups with many uniform elements Krempa, J. |
| title | 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_short | On lattices, modules and groups with many uniform elements |
| title_sort | on lattices, modules and groups with many uniform elements |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/155951 |
| work_keys_str_mv | AT krempaj onlatticesmodulesandgroupswithmanyuniformelements |