Seminar • Symbolic Computation | Computer Algebra • Annihilators of Square Matrices Over Rings with Zero Divisors
Please note: This seminar will take place in DC 1302.
Roswitha Rissner, Department of Mathematics
Alpen-Adria-Universität Klagenfurt, Austria
Given a square matrix B' over a (commutative) ring S, the null ideal N_0(B') is the ideal consisting of all polynomials f in S[X] 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) }