On lattices, modules and groups with many uniform elements

dc.contributor.author	Krempa, J.
dc.date.accessioned	2019-06-17T15:48:08Z
dc.date.available	2019-06-17T15:48:08Z
dc.date.issued	2004
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1726-3255
dc.identifier.other	2000 Mathematics Subject Classification: 06C99, 16S90, 20E15.
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/155951
dc.description.abstract	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.	uk_UA
dc.description.sponsorship	Many thanks to Piotr Grzeszczuk for his helpful remarks on preliminary version of Section 3 of this paper.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут прикладної математики і механіки НАН України	uk_UA
dc.relation.ispartof	Algebra and Discrete Mathematics
dc.title	On lattices, modules and groups with many uniform elements	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA