Lyubeznik Tables of linked Ideals

In this paper, we examine the Lyubeznik tables of two linked ideals I and J of a complete regular local ring S containing a field. More precisely, we prove that the Lyubeznik tables of two evenly linked ideals I and J are the same when S/I and S/J both satisfy one of the following properties: (1) canonically Cohen-Macaulay, (2) generalized Cohen-Macaulay and (3) Buchsbaum. Furthermore, we give some conditions for equality of Lyubeznik tables of two linked ideals of dimension 2.