Seminar

Speaker

Dr. Sergey Malev (Bar-Ilan University)

Date

27/02/2019 - 11:30 - 10:30Add to Calendar

`A construction of a finitely presented semigroup containing an infinite square-free ideal with zero multiplication``2019-02-27 10:30:00``2019-02-27 11:30:00``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