Groupoids and the associative law. VIIB: SH-groupoids and simply generated congruences. (English) Zbl 1260.20085

From the summary: The present paper is a continuation of part VIIA [the author, ibid. 48, No. 1, 43-54 (2007; Zbl 1153.20049)] and part IIIA [the author, ibid. 50, No. 1, 73-82 (2009; Zbl 1181.20062)]. Congruences generated by at most three-element sets are used and semigroup distances of the corresponding minimal SH-groupoids of type \((a,b,a)\) are investigated.


20N02 Sets with a single binary operation (groupoids)