שלחו לחבר

Finite Groebner basis algebras with unsolvable nilpotency and zero divisor problems

Seminar
Speaker
Dr. Sergey Malev (Bar-Ilan University)
Date
25/01/2017 - 11:30 - 10:30
Place
Third floor seminar room
Abstract

Constructions of two algebras, both with the ideal of relations defined by a finite Groebner basis, will be presented. For the first algebra the question of whether a given element is nilpotent is algorithmically unsolvable, for the second the question of whether a given element is a zero divisor is algorithmically unsolvable. This gives a negative answer to questions raised by Latyshev.

תאריך עדכון אחרון : 17/01/2017