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Algebra and Discrete Mathematics, 2019, том 27, выпуск 1, страницы 37–49
(Mi adm690)
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RESEARCH ARTICLE
The lattice of quasivarietes of modules over a Dedekind ring
Přemysl Jedličkaa, Katarzyna Matczakb, Anna Mućkac
a Department o Mathematics, Faculty of Engineering, Czech University of Life Sciences, 165 21 Prague, Czech Republic
b Faculty of Civil Engineering, Mechanics and Petrochemistry in Płock, Warsaw University of Technology, 09-400 Płock, Poland
c Faculty of Mathematics and Information Sciences, Warsaw University of Technology, 00-661 Warsaw, Poland
Аннотация:
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).
Ключевые слова:
quasivarieties, lattices, modules, Dedekind rings.
Поступила в редакцию: 22.06.2017
Исправленный вариант: 12.09.2017
Образец цитирования:
Přemysl Jedlička, Katarzyna Matczak, Anna Mućka, “The lattice of quasivarietes of modules over a Dedekind ring”, Algebra Discrete Math., 27:1 (2019), 37–49
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/adm690 https://www.mathnet.ru/rus/adm/v27/i1/p37
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