TY - JOUR ID - 2322 TI - A NOTE ON RELATIVE GENERALIZED COHEN-MACAULAY MODULES JO - Journal of Algebraic Systems JA - JAS LA - en SN - 2345-5128 AU - Ghanbari Doust, A. AD - Faculty of Mathematical Sciences and Computer, Kharazmi University, P.O. Box 1561836314, Tehran, Iran. Y1 - 2022 PY - 2022 VL - 10 IS - 1 SP - 69 EP - 78 KW - cohomological dimension KW - finiteness dimension KW - relative generalized Cohen-Macaulay DO - 10.22044/jas.2021.10593.1523 N2 - Let a be a proper ideal of a ring R. A finitely generated R-module M is said to be a-relative generalized Cohen-Macaulay if f_a (M)=cd(a ,M). In this note, we introduce a suitable notion of length of a module to characterize the above mentioned modules. Also certain syzygy modules over a relative Cohen-Macaulay ring are studied. UR - https://jas.shahroodut.ac.ir/article_2322.html L1 - https://jas.shahroodut.ac.ir/article_2322_3df4013a02f82f54544c5a30e6f0ace7.pdf ER -