Factorable congruences and factorable congruence blocks on powers of a finite algebra
Jaromír Duda (1992)
Czechoslovak Mathematical Journal
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Jaromír Duda (1992)
Czechoslovak Mathematical Journal
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Yuzhong Ding, Zhiyong Pang (2007)
Formalized Mathematics
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We have formalized the BCI-algebras closely following the book [7] pp. 16-19 and pp. 58-65. Firstly, the article focuses on the properties of the element and then the definition and properties of congruences and quotient algebras are given. Quotient algebras are the basic tools for exploring the structures of BCI-algebras.
J. Słomiński (1960)
Fundamenta Mathematicae
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Marica D. Prešić (1979)
Publications de l'Institut Mathématique
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Ivan Chajda, Radomír Halaš (2002)
Discussiones Mathematicae - General Algebra and Applications
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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.
Jaromír Duda (1992)
Mathematica Bohemica
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We give Mal’cev conditions for varieties 4V4 whose congruences on the product , are determined by their restrictions on the axes in .