A note on configurence uniformity for single algebras

• Autorzy: Chajda I. , Länger H.
• Języki publikacji: EN

Abstrakty

EN

It is proved that though for varieties congruence uniformity implies congruence regularity this is not the case with infinite algebras.

Słowa kluczowe

EN

congruence uniformity; congruence regularity; congruence permutability; congruence distributivity; unary algebra; subdirectly irreducible; variety

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2004
• Tom: Vol. 37, nr 1
• Strony: 9--11
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Chajda I.

• Department of Algebra and Geometry, Palacký University Olomouc, Tomkova 40, CZ-77900 Olomouc

autor

Länger H.

• Institute of Algebra and Computational Mathematics, Vienna University of Technology, Wiedner Hauptstraße 8-10, A-1040 Wien

Bibliografia

• [1] I. Chajda, G. Eigentaler and H. Länger, Congruence Classes in Universal Algebra. Heldermann, Lemgo 2003.
• [2] B. Csákány, Characterizations of regular varieties, Acta Sci. Math (Szeged) 31 (1970), 187-189.
• [3] G. Grätzer, Two Mal’cew-type theorems in universal algebra. J. Combin. Theory 8 (1970), 334-342.
• [4] W. Taylor, Uniformity of congruences. Algebra Universalis 4 (1974), 342-360.
• [5] R. Wille, Kongruenzklassengeometrien, Springer Lecture Notes Math. 113, Berlin 1970.