Abstract
Let M be a finitely generated module over a Noetherian local ring R. In this paper we introduce the notion of sequential polynomial type of M, which is denoted by sp(M), in order to measure how far M is different from the sequential Cohen–Macaulayness. We study the sequential polynomial type under localization and m-adic completion. We investigate an ascent–descent property of sequential polynomial type between M and M/xM for certain parameter x of M. When R is a quotient of a Gorenstein local ring, we describe sp(M) in term of the deficiency modules of M.
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