Modyfications of Csákány's Theorem

• Autorzy: Ivan Chajda
• Języki publikacji: EN

Abstrakty

EN

Varieties whose algebras have no idempotent element were characterized by B. Csákány by the property that no proper subalgebra of an algebra of such a variety is a congruence class. We simplify this result for permutable varieties and we give a local version of the theorem for varieties with nullary operations.

Słowa kluczowe

EN

congruence class; idempotent element; permutable variety; Mal'cev condition

Kategorie tematyczne

• 08A30: Subalgebras, congruence relations

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2000
• Tom: 20
• Numer: 1
• Strony: 37-41

Daty

wydano

2000

otrzymano

1997-12-12

otrzymano

1998-12-28

Twórcy

autor

Ivan Chajda

• Department of Algebra and Geometry, Palacký University of Olomouc, Tomkova 40, Cz-779 00 Olomouc, Czech Republic

Bibliografia

• [1] I. Chajda and J. Duda, Compact universal relation in varieties with constants, Czechoslovak Math. J. 47 (1997), 173-178.
• [2] B. Csákány, Varieties whose algebras have no idempotent elements, Colloq. Math. 35 (1976), 201-203.
• [3] J. Kollár, Congruences and one-element subalgebras, Algebra Universalis 9 (1979), 266-267.

Identyfikatory

DOI

10.7151/dmgaa.1003