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Free left \(n\)-dinilpotent dimonoids. (English) Zbl 1384.08002

Authors’ abstract: We introduce left (right) \(n\)-dinilpotent dimonoids which are analogs of left (right) nilpotent semigroups of rank \(n\) considered by B. M. Shajn [Usp. Mat. Nauk 19, No. 1(115), 187–189 (1964; Zbl 0126.04101)]. A free left (right) \(n\)-dinilpotent dimonoid is constructed and the least left (right) \(n\)-dinilpotent congruence on a free dimonoid is characterized.

MSC:

08B20 Free algebras
08A30 Subalgebras, congruence relations

Citations:

Zbl 0126.04101
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References:

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