Yet another note on congruence uniformity

• Autorzy: Goldstern M.
• Języki publikacji: EN

Abstrakty

EN

We describe a countable unary algebra with few operations which is congruence uniform but not congruence regular, and we show that no uncountable algebra with these properties exists.

Słowa kluczowe

EN

unary algebra; universal algebra; uncoutable algebra; congruence uniformity

PL

algebra nieprzeliczalna; algebra uniwersalna; kongruencja jednolita

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 3
• Strony: 517--521
• Opis fizyczny: Bibliogr. 4 poz.

Twórcy

autor

Goldstern M.

• Discrete Mathematics and Geometry, Algebra Research Group, TU Wien, Wiedner Hauptstrasse 8-10/104, 1040 Wien, Austria

Bibliografia

• [1] I. Chajda, G. Eigenthaler and H. Länger, Congruence classes in universal algebra, Research and Exposition in Mathematics, Heldermann, Lemgo, 2003.
• [2] I. Chajda and H. Länger, A note on congruence uniformity for single algebras, Demonstratio Math. 37 (2004), 9-11.
• [3] M. Goldstern, Most algebras have the interpolation property, Algebra Universalis 38 (1997), 97-114.
• [4] S. Lang, Algebra, vol. 211 of Graduate Texts of Mathematics, Springer, New York, 3erd ed., 2002.