The lattice of quasivarietes of modules over a Dedekind ring

被引：0

作者：

Jedlicka, Premysl ^{[1
]}

Matczak, Katarzyna ^{[2
]}

Mucka, Anna ^{[3
]}

机构：

[1] Czech Univ Life Sci, Dept Math, Fac Engn, Prague 16521, Czech Republic

[2] Warsaw Univ Technol, Fac Civil Engn Mech & Petrochem Plock, PL-09400 Plock, Poland

[3] Warsaw Univ Technol, Fac Math & Informat Sci, PL-00661 Warsaw, Poland

来源：

ALGEBRA AND DISCRETE MATHEMATICS | 2019年 / 27卷 / 01期

关键词：

quasivarieties; lattices; modules; Dedekind rings;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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).

引用

页码：37 / 49

页数：13

共 14 条

[1] [Anonymous], 2002, Modes
[2] Belkin D. V., 1995, THESIS
[3] Subquasivarieties of regularized varieties
Bergman, C
Romanowska, A
[J]. ALGEBRA UNIVERSALIS, 1996, 36 (04) : 536 - 563
[4] Gorbunov VA., 1998, Algebraic Theory of Quasivarieties
[5] DEDUCTIVE VARIETIES OF MODULES AND UNIVERSAL-ALGEBRAS
HOGBEN, L
BERGMAN, C
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1985, 289 (01) : 303 - 320
[6] Malcev AI., 1973, Algebraic Systems, DOI DOI 10.1515/9783112611227
[7] Quasivarieties of cancellative commutative binary modes
Matczak K.
Romanowska A.B.
[J]. Studia Logica, 2004, 78 (1-2) : 321 - 335
[8] Irregular quasivarieties of commutative binary modes
Matczak, K
Romanowska, AB
[J]. INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2005, 15 (04) : 699 - 715
[9] McKenzie R. N., 1987, ALGEBRA LATTICES VAR, VI
[10] Narkiewicz W., 2004, ELEMENTARY ANAL THEO

← 1 2 →