Authors: Chajda, Ivan
Šešelja, Branimir
Tepavčević, Andreja 
Title: A note on triangular schemes for weak congruences
Journal: Czechoslovak Mathematical Journal
Volume: 55
Issue: 3
First page: 683
Last page: 690
Issue Date: 1-Jan-2005
Rank: M23
ISSN: 0011-4642
DOI: 10.1007/s10587-005-0055-4
Some geometrical methods, the so called Triangular Schemes and Principles, are introduced and investigated for weak congruences of algebras. They are analogues of the corresponding notions for congruences. Particular versions of Triangular Schemes are equivalent to weak congruence modularity and to weak congruence distributivity. For algebras in congruence permutable varieties, stronger properties-Triangular Principles-are equivalent to weak congruence modularity and distributivity.
Keywords: Triangular principle | Triangular scheme | Weak congruence | Weak congruence distributivity | Weak congruence modularity
Publisher: Springer Link

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