Посилання: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.
Підтримка:The joint research within the framework of the Polish-Czech cooperation grant no. 7AMB13PL013 and no. 8829/R13/R14.
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 deductive (a variety is deductive if every subquasivariety is a variety).