In this paper, we introduce the notions of non Cohen-Macaulay in dimension more than s locus. It is clear that a Cohen-Macaulay module in dimension more than s for s = -1 is Cohen-Macaulay in module.
ISSN: 1859-2171 TNU Journal of Science and Technology http://jst.tnu.edu.vn; Email: jst@tnu.edu.vn 192(16): 23 - 28 23 Nguyễn Văn Cương Cs 24 Tạp chí KHOA HỌC & CƠNG NGHỆ 82(06): - 10 http://jst.tnu.edu.vn; Email: jst@tnu.edu.vn Luu Phuong Thao TNU Journal of Science and Technology http://jst.tnu.edu.vn; Email: jst@tnu.edu.vn 192(16): 23 - 28 25 Nguyễn Văn Cương Cs 26 Tạp chí KHOA HỌC & CƠNG NGHỆ 82(06): - 10 http://jst.tnu.edu.vn; Email: jst@tnu.edu.vn Luu Phuong Thao TNU Journal of Science and Technology http://jst.tnu.edu.vn; Email: jst@tnu.edu.vn 192(16): 23 - 28 27 Nguyễn Văn Cương Cs Tạp chí KHOA HỌC & CÔNG NGHỆ 82(06): - 10 Received: 29/8/2018; Revised: 13/10/2018; Approved: 28/12/2018 28 http://jst.tnu.edu.vn; Email: jst@tnu.edu.vn ... Cương Cs 24 Tạp chí KHOA HỌC & CÔNG NGHỆ 82(06): - 10 http://jst.tnu.edu.vn; Email: jst@tnu.edu.vn Luu Phuong Thao TNU Journal of Science and Technology http://jst.tnu.edu.vn; Email: jst@tnu.edu.vn... Cương Cs 26 Tạp chí KHOA HỌC & CƠNG NGHỆ 82(06): - 10 http://jst.tnu.edu.vn; Email: jst@tnu.edu.vn Luu Phuong Thao TNU Journal of Science and Technology http://jst.tnu.edu.vn; Email: jst@tnu.edu.vn... - 28 27 Nguyễn Văn Cương Cs Tạp chí KHOA HỌC & CƠNG NGHỆ 82(06): - 10 Received: 29/8/2018; Revised: 13/10/2018; Approved: 28/12/2018 28 http://jst.tnu.edu.vn; Email: jst@tnu.edu.vn