The lattice of quasivarietes of modules over a Dedekind ring

• Datum: 2019
• Hauptverfasser: Jedlička, Přemysl, Matczak, Katarzyna, Mućka, Anna
• Format: Artikel
• Sprache: English
• Veröffentlicht: Lugansk National Taras Shevchenko University 2019
• Schlagworte: quasivarieties; lattices; modules; Dedekind rings; 08A62; 08C15; 20N02; 20N05
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/487
• Назва журналу: Algebra and Discrete Mathematics

In 1995 D. V. Belkin described the lattice of quasivarieties of modules over  principal ideal domains. 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 deductive...