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math.RA2016
A construction of a finitely presented semigroup containing nonnilpotent nil ideal
Ilya Ivanov-Pogodaev, Sergey Malev
This work presents an example of a finitely presented semigroup containing an infinite nonnilpotent nil ideal , whose elements do not have a square (i.e. any word of the ty…
math.RA2016★ 1 cited
Finite Gröbner basis algebra with unsolvable nilpotency problem and zero divisors problem
Ilya Ivanov-Pogodaev, Sergey Malev
This work presents a sample constructions of two algebras both with the ideal of relations defined by a finite Gröbner basis. For the first algebra the question whether a given ele…