A construction of a finitely presented semigroup containing an infinite square-free ideal with zero multiplication
Seminar
Speaker
Dr. Sergey Malev (Bar-Ilan University)
Date
27/02/2019 - 11:30 - 10:30Add to Calendar
2019-02-27 10:30:00
2019-02-27 11:30:00
A construction of a finitely presented semigroup containing an infinite square-free ideal with zero multiplication
This work provides an example of a finitely presented semigroup H with zero containing an infinite ideal of the form I = LH, where L is a generator of H, such that every word in generators representing an element of I is square free (i.e. any word of the type LXYYZ, for non-empty Y, equals zero in H).
This is a joint work with Ilya Ivanov-Pogodaev and Olga Sapir.
Keywords: Finitely presented semigroups; nil ideals; nil semigroups; nil rings.
Third floor seminar room (room 201, building 216)
אוניברסיטת בר-אילן - Department of Mathematics
mathoffice@math.biu.ac.il
Asia/Jerusalem
public
Place
Third floor seminar room (room 201, building 216)
Abstract
This work provides an example of a finitely presented semigroup H with zero containing an infinite ideal of the form I = LH, where L is a generator of H, such that every word in generators representing an element of I is square free (i.e. any word of the type LXYYZ, for non-empty Y, equals zero in H).
This is a joint work with Ilya Ivanov-Pogodaev and Olga Sapir.
Keywords: Finitely presented semigroups; nil ideals; nil semigroups; nil rings.
Last Updated Date : 21/02/2019
