@article{10.2307/2039097,
    Abstract = {If an equational class of algebras has the distributive or permutable congruence property then it is well known that it satisfies certain conditions, known as Mal'cev-type conditions. In this note such Mal'cev-type conditions are used to find minimal bases for certain equational theories of algebras. A typical result states that every finitely based equational theory of algebras with distributive and permutable congruences is one-based.},
    Author = {Padmanabhan, R. and Quackenbush, R. W.},
    File = {Equational theories of algebras with distributive congruences - S0002-9939-1973-0325498-2 - a.pdf},
    ISSN = {00029939, 10886826},
    Journal = {Proceedings of the American Mathematical Society},
    Number = {2},
    Pages = {373--377},
    Publisher = {American Mathematical Society},
    Title = {Equational Theories of Algebras with Distributive Congruences},
    URL = {http://www.jstor.org/stable/2039097},
    URLDate = {2023-04-06},
    Volume = {41},
    Year = {1973},
    bdsk-url-1 = {http://www.jstor.org/stable/2039097},
    date-added = {2023-04-06 07:08:36 +0200},
    date-modified = {2023-04-06 07:08:36 +0200},
    doi = {10.2307/2039097}
}

@article{10.2307/2039097, Abstract = {If an equational class of algebras has the distributive or permutable congruence property then it is well known that it satisfies certain conditions, known as Mal'cev-type conditions. In this note such Mal'cev-type conditions are used to find minimal bases for certain equational theories of algebras. A typical result states that every finitely based equational theory of algebras with distributive and permutable congruences is one-based.}, Author = {Padmanabhan, R. and Quackenbush, R. W.}, File = {Equational theories of algebras with distributive congruences - S0002-9939-1973-0325498-2 - a.pdf}, ISSN = {00029939, 10886826}, Journal = {Proceedings of the American Mathematical Society}, Number = {2}, Pages = {373--377}, Publisher = {American Mathematical Society}, Title = {Equational Theories of Algebras with Distributive Congruences}, URL = {http://www.jstor.org/stable/2039097}, URLDate = {2023-04-06}, Volume = {41}, Year = {1973}, bdsk-url-1 = {http://www.jstor.org/stable/2039097}, date-added = {2023-04-06 07:08:36 +0200}, date-modified = {2023-04-06 07:08:36 +0200}, doi = {10.2307/2039097} }

Library Size: 13G (12942 entries), Last Updated: Apr 05, 2026, 08:41:35, Build Time: N/A badge