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Null ideals of subsets of matrix rings over fields
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NSTL
Elsevier
Let M-n(F) denote the ring of n x n matrices with entries from a field F. For a subset S subset of M-n(F), the null ideal N(S) of Sis the set of all polynomials fwith coefficients in M-n(F) such that f(s) = 0 for all s is an element of S. We investigate conditions on Sunder which N(S) is a two-sided ideal of the polynomial ring M-n(F)[x]. In particular, we describe all finite subsets S subset of M-2(F) for which N(S) is a two-sided ideal. (C) 2022 Elsevier Inc. All rights reserved.
NSTL
Elsevier
