On lattices, modules and groups with many uniform elements

• Published in: Algebra and Discrete Mathematics
• Date: 2004
• ISSN: 1726-3255
• Main Author: Krempa, J.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/155951
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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...