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http://dx.doi.org/10.4134/BKMS.2014.51.2.519

SOME CHARACTERIZATIONS OF COHEN-MACAULAY MODULES IN DIMENSION > s

Dung, Nguyen Thi (Thai Nguyen University of Agriculture and Forestry)

Publication Information

Bulletin of the Korean Mathematical Society / v.51, no.2, 2014 , pp. 519-530 More about this Journal

Abstract

Let (R,m) be a Noetherian local ring and M a finitely generated R-module. For an integer s > -1, we say that M is Cohen-Macaulay in dimension > s if every system of parameters of M is an M-sequence in dimension > s introduced by Brodmann-Nhan [1]. In this paper, we give some characterizations for Cohen-Macaulay modules in dimension > s in terms of the Noetherian dimension of the local cohomology modules $H^i_m(M)$ , the polynomial type of M introduced by Cuong [5] and the multiplicity e( $\underline{x}$ ;M) of M with respect to a system of parameters $\underline{x}$ .

Keywords

Cohen-Macaulay modules in dimension > s; M-sequence in dimension > s; multiplicity; Noetherian dimension; local cohomology modules;

Citations & Related Records

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