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Assume that Formula: see text is a standard graded algebra over the local ring Formula: see text, Formula: see text is a homogeneous ideal of Formula: see text, Formula: see text is a finitely generated graded Formula: see text-module and Formula: see text denotes the irrelevant ideal of Formula: see text. In this paper, among other things, we study the asymptotic behavior of the set Formula: see text as Formula: see text, in the case where Formula: see text and Formula: see text are homogenously linked over Formula: see text.
Jahangiri et al. (Mon,) studied this question.