On the determining of the form of congruences in abstract algebras with equationally definable constant elements
J. Słomiński (1960)
Fundamenta Mathematicae
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Displaying similar documents to “Congruences and Quotient Algebras of BCI-algebras”
On the determining of the form of congruences in abstract algebras with equationally definable constant elements
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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.
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