Congruence submodularity

• Autorzy: Ivan Chajda , Radomír Halaš
• Języki publikacji: EN

Abstrakty

EN

We present a countable infinite chain of conditions which are essentially weaker then congruence modularity (with exception of first two). For varieties of algebras, the third of these conditions, the so called 4-submodularity, is equivalent to congruence modularity. This is not true for single algebras in general. These conditions are characterized by Maltsev type conditions.

Słowa kluczowe

EN

congruence lattice; modularity; congruence k-submodularity

Kategorie tematyczne

• 08B05: Equational logic, Mal\cprime cev (Mal\cprime tsev) conditions
• 08B10: Congruence modularity, congruence distributivity
• 08A30: Subalgebras, congruence relations

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2002
• Tom: 22
• Numer: 2
• Strony: 131-139

Daty

wydano

2002

otrzymano

2002-03-18

Twórcy

autor

Ivan Chajda

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

autor

Radomír Halaš

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

Bibliografia

• [1] I. Chajda and K. Głazek, A Basic Course on General Algebra, Technical University Press, Zielona Góra (Poland), 2000.
• [2] A. Day, A characterization of modularity for congruence lattices of algebras, Canad. Math. Bull. 12 (1969), 167-173.
• [3] B. Jónsson, On the representation of lattices, Math. Scand. 1 (1953), 193-206.

Identyfikatory

DOI

10.7151/dmgaa.1052