MATHEMATICS

Free $n$-dinilpotent dimonoids

Anatolii V. Zhuchok

Luhansk Taras Shevchenko National Univesity, Luhansk, Ukraine

Abstract: We construct a free $n$-dinilpotent dimonoid and characterize the least $n$-dinilpotent congruence on a free dimonoid.

Keywords: $n$-dinilpotent dimonoid, free $n$-dinilpotent dimonoid, dimonoid, semigroup, congruence.

UDC: 512.579

Received: 18.09.2013