A construction of a finitely presented semigroup containing nonnilpotent nil ideal

Abstract

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.)

References in corpus (2)

• Construction of infinite finitely presented nilsemigroup
• Finite Gröbner basis algebra with unsolvable nilpotency problem and zero divisors problem