A construction of a finitely presented semigroup containing nonnilpotent nil ideal

I. A. Ivanov-Pogodaev; Sergey Malev

doi:https://doi.org/10.48550/arxiv.1612.03965

A construction of a finitely presented semigroup containing nonnilpotent nil ideal

I. A. Ivanov-Pogodaev, Sergey Malev · arXiv (Cornell University) · 2016

This work presents an example of a finitely presented semigroup $S$ containing an infinite nonnilpotent nil ideal $LS$, whose elements do not have a square (i.e. any word of the type $LXYYZ$ equals zero.)

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