On binary polynomials in idempotent commutative groupoids

On the minimal extension of sequences

The unique minimal clone with three essentially binary operations

/pdf/medial-idempotent-groupoids-i-3iow3vztzh.pdf

Medial idempotent groupoids. I

As a sequel to the previous two papers of the second author, we investigate the structure of medial idempotent groupoids by Pn-sequences. To complete the series of research, this paper has theree purposes. First, we summarize some results in the previous papers so that this paper can cover the materials presented there. Secondly, using earlier results, we prove a few theorems which show the importance of the medial law in controlling the growth of Pn-sequences of groupoids. Finally, we state some problems and conjectures raised during the series of research.

/pdf/medial-idempotent-groupoids-iii-4a6l3pxwg7.pdf

Medial idempotent groupoids III

The minimal extension of sequences III. On problem 16 of Grätzer and Kisielewicz

/pdf/on-binary-polynomials-in-idempotent-commutative-groupoids-a49zw8a77n.pdf

On binary polynomials in idempotent commutative groupoids

Citations

On the minimal extension of sequences

The unique minimal clone with three essentially binary operations

Medial idempotent groupoids. I

Medial idempotent groupoids III

The minimal extension of sequences III. On problem 16 of Grätzer and Kisielewicz

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