|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||Abstract:||
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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