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@article{ADM_2019_27_1_a4, author = {P\v{r}emysl Jedli\v{c}ka and Katarzyna Matczak and Anna Mu\'cka}, title = {The lattice of quasivarietes of modules over {a~Dedekind} ring}, journal = {Algebra and discrete mathematics}, pages = {37--49}, publisher = {mathdoc}, volume = {27}, number = {1}, year = {2019}, language = {en}, url = {http://geodesic.mathdoc.fr/item/ADM_2019_27_1_a4/} }
TY - JOUR AU - Přemysl Jedlička AU - Katarzyna Matczak AU - Anna Mućka TI - The lattice of quasivarietes of modules over a~Dedekind ring JO - Algebra and discrete mathematics PY - 2019 SP - 37 EP - 49 VL - 27 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ADM_2019_27_1_a4/ LA - en ID - ADM_2019_27_1_a4 ER -
Přemysl Jedlička; Katarzyna Matczak; Anna Mućka. The lattice of quasivarietes of modules over a~Dedekind ring. Algebra and discrete mathematics, Tome 27 (2019) no. 1, pp. 37-49. http://geodesic.mathdoc.fr/item/ADM_2019_27_1_a4/
[1] D. V. Belkin, Constructing Lattices of Quasivarieties of Modules, Ph.D. Thesis, Novosibirsk State University, Novosibirsk, Russia, 1995 (in Russian)
[2] C. Bergman and A. Romanowska, “Subquasivarieties of regularized varieties”, Algebra Universalis, 36 (1996), 536–563 | DOI | MR | Zbl
[3] V. A. Gorbunov, Algebraic Theory of Quasivarieties, Consultants Bureau, New York, 1998 | MR | Zbl
[4] L. Hogben and C. Bergman, “Deductive varieties of modules and universal algebras,”, Trans. Amer. Math. Soc., 289 (1985), 303–320 | DOI | MR | Zbl
[5] A. I. Mal'cev, Algebraic Systems, Springer-Verlag, Berlin, 1973
[6] K. Matczak and A. Romanowska, “Quasivarieties of cancellative commutative binary modes”, Studia Logica, 78 (2004), 321–335 | DOI | MR | Zbl
[7] K. Matczak and A. Romanowska, “Irregular quasivarieties of commutative binary modes”, International Journal of Algebra and Computation, 15 (2005), 699–715 | DOI | MR | Zbl
[8] R. N. McKenzie, G. F. McNulty and W. F. Taylor, Algebra, Lattices, Varieties, v. I, Wadsworth, Monterey, 1987 | MR
[9] W. Narkiewicz, Elementary and Analytic Theory of Algebraic Numbers, Springer Monographs in Mathematics, Springer, 2004 | DOI | MR | Zbl
[10] A. B. Romanowska and J. D. H. Smith, Modes, World Scientific, Singapore, 2002 | MR | Zbl
[11] W. Stephenson, “Modules Whose Lattice of Submodules is Distributive”, Proc. London Math. Soc. (3), 28:2 (1974), 291–310 | DOI | MR | Zbl
[12] K. Toyoda, “On axioms of linear functions”, Proc. Imp. Acad. Tokyo, 17 (1941), 221–227 | MR | Zbl
[13] A. A. Vinogradov, “Quasivarieties of abelian groups”, Algebra i Logika, 4 (1965), 15–19 (Russian) | MR | Zbl
[14] O. Zariski, P. Samuel, Commutative algebra, v. I, Springer-Verlag, Berlin, 1975 | MR | Zbl