Lecture: Null ideals of square matrices over residue class rings of PIDs

Master data
Title: Null ideals of square matrices over residue class rings of PIDs
Description:

Given a square matrix BB over a (commutative) ring S, the null ideal N_0(B) is the ideal consisting of all polynomials f in S[Xx for which f(B)=0. In the case that S=R/J is the residue class ring of a ring R modulo an ideal J, we can equivalently study the so-called J-ideals N_J(B) = {f \in R[x] | f(B) \in M_n(J)} where B is a preimage of B under the projection modulo J.

If R is a principal ideal domain it suffices to determine a finite number of polynomials in order to describe all J-ideals of B. In this talk we discuss an algorithmic approach to compute these polynomials.
Keywords:
Type: Invited speaker
Homepage: https://aca2021.sba-research.org/
Event: Applications of Computer Science (Waterloo)
Date: 23.07.2021
lecture status: stattgefunden (online)

Participants
Roswitha Rissner
Roswitha.Rissner@aau.at
Institut für Statistik
Institut für Mathematik
Research activities
To visiting card
(internal)
  • Speaker

Assignment
Organisation Address
Fakultät für Technische Wissenschaften
  Institut für Mathematik
Universitätsstraße 65-67
9020 Klagenfurt am Wörthersee
Austria
   math@aau.at
https://www.aau.at/mathematik
To organisation
Universitätsstraße 65-67
AT - 9020  Klagenfurt am Wörthersee

Categorisation
Subject areas
  • 101005 - Computer algebra
  • 101001 - Algebra
Research Cluster No research Research Cluster selected
Focus of lecture
  • Science to Science (Quality indicator: I)
Classification raster of the assigned organisational units:
Group of participants
  • Mainly international
Published?
  • No
Keynote speaker
  • No
working groups
  • Diskrete Mathematik und Optimierung

Cooperations
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