The lattice of quasivarietes of modules over a Dedekind ring

Přemysl Jedlička, Katarzyna Matczak, Anna Mućka


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 (a variety is deductive if every subquasivariety is a variety).


quasivarieties, lattices, modules, Dedekind rings

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