Mathieu-Zhao spaces of polynomial rings
Abstract
We describe all Mathieu-Zhao spaces of k[x1,·s,xn] (k is an algebraically closed field of characteristic zero) which contains an ideal of finite codimension. Furthermore we give an algorithm to decide if a subspace of the form I+kv1+·s+kvr is a Mathieu-Zhao space, in case the ideal I has finite codimension.
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