For every matroidal ideal I, the ideal generated by the i-th multigraded shifts of I is again matroidal for i = 0,...,pd(I), and equals the i-fold iterated adjacency ideal of I.
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Multigraded Shifts of Matroidal Ideals
For every matroidal ideal I, the ideal generated by the i-th multigraded shifts of I is again matroidal for i = 0,...,pd(I), and equals the i-fold iterated adjacency ideal of I.