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Two-generated idempotent groupoids with small clones (Q2773257)

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scientific article; zbMATH DE number 1709850
Language Label Description Also known as
English
Two-generated idempotent groupoids with small clones
scientific article; zbMATH DE number 1709850

    Statements

    Two-generated idempotent groupoids with small clones (English)
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    21 February 2002
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    medial groupoid
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    Steiner quasigroup
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    near-semilattice
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    essentially binary term operations
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    idempotent groupoids
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    After introducing and recalling some results of J. Dudek, a characterization of all classes of idempotent groupoids having no more than two essentially binary term operations with respect to small finite models is given (Theorem 2.1 and Theorem 2.2).NEWLINENEWLINENEWLINERemarks: The last sentence in Theorem 2.2, page 62, should be: ``The dual versions of (1)--(8) are also true'' instead of ``The dual versions of (1)--(9) are also true''. At the end of the proof of Theorem 2.2, page 67, lines 17 and 18, read (7) and (8) instead of (8) and (9), respectively.
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