The lattice of quasivarietes of modules over a Dedekind ring

• Published in: Algebra and Discrete Mathematics
• Date: 2019
• Main Authors: Jedlička, P., Matczak, K., Mućka, A.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2019
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188420
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The lattice of quasivarietes of modules over a Dedekind ring / P. Jedlička, K. Matczak, A. Mućka // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 37–49. — Бібліогр.: 14 назв. — англ.

In 1995 D. V. Belkin described the lattice of quasivarieties of modules over principal ideal domains [1]. The following paper provides a description of the lattice of subquasivarieties of the variety of modules over a given Dedekind ring. It also shows which subvarieties of these modules are deducti...