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 |
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| Datum: | 2004 |
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
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. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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.
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| ISSN: | 1726-3255 |