NON COHEN-MACAULAY IN DIMENSION MORE THAN S LOCUS | Thảo | TNU Journal of Science and Technology

NON COHEN-MACAULAY IN DIMENSION MORE THAN S LOCUS

About this article

Published: 28/12/18

Authors

Luu Phuong Thao Email to author, University of Education, Thai Nguyen University

Abstract


Let (R;m) be a Noetherian local ring, M a finitely generated R-module. Let s 􀀀1 be an integer. Following N. Zamani [14], M is a Cohen-Macaulay module in dimension more than s if every s.o.p. of M is an M-sequence in dimension more than s. In this paper, we introduce the notions of non Cohen-Macaulay in dimension more than s locus, nCM>s(M) and i-th pseudo support in dimension more than s of M; Psuppi >s(M): It is clear that a Cohen-Macaulay module in dimension more than s for s = 􀀀1 is Cohen-Macaulay module. In this case, the non Cohen-Macaulay in dimension more than s locus and i-th pseudo support in dimension more than s are exactly the non Cohen-Macaulay and i-th pseudo support of M: Next, we give a description nCM>s(M) via these i-th pseudo supports in dimension more than s of M: 


Keywords


Cohen-Macaulay modules in dimension more than s, non Cohen-Macaulay in dimension more than s locus, the i-th pseudo support, Noetherian dimension, quotient of a Cohen-Macaulay local ring.

Full Text:

PDF

Refbacks

  • There are currently no refbacks.
TNU Journal of Science and Technology
Rooms 408, 409 - Administration Building - Thai Nguyen University
Tan Thinh Ward - Thai Nguyen City
Phone: (+84) 208 3840 288 - E-mail: jst@tnu.edu.vn
Based on Open Journal Systems
©2018 All Rights Reserved