Sequentially Cohen-Macaulay modules under base change

被引：4

作者：

Tousi, M ^{[1
]}

Yassemi, S ^{[1
]}

机构：

[1] Univ Tehran, Dept Math, Tehran, Iran

来源：

COMMUNICATIONS IN ALGEBRA | 2005年 / 33卷 / 11期

关键词：

base change; sequentially Cohen-Macaulay module;

D O I：

10.1080/00927870500261132

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Assume that phi:(R,) -> (S,n) is a local flat homomorphism between commutative Noetherian local rings R and S . Let M be a finitely generated R -module. We investigate the ascent and descent of sequentially Cohen-Macaulay properties between the R-module M and the S -module M circle times(R) S.

引用

页码：3977 / 3987

页数：11

共 9 条

[1] On sequentially Cohen-Macaulay modules
Cuong, Nguyen Tu
Cuong, Doan Trung
KODAI MATHEMATICAL JOURNAL, 2007, 30 (03) : 409 - 428
[2] On the notion of sequentially Cohen-Macaulay modules
Caviglia, Giulio
De Stefani, Alessandro
Sbarra, Enrico
Strazzanti, Francesco
RESEARCH IN THE MATHEMATICAL SCIENCES, 2022, 9 (03)
[3] TOPICS ON SEQUENTIALLY COHEN-MACAULAY MODULES
Taniguchi, Naoki
Tran Thi Phuong
Nguyen Thi Dung
Tran Nguyen An
JOURNAL OF COMMUTATIVE ALGEBRA, 2018, 10 (02) : 295 - 304
[4] Parametric decomposition of powers of parameter ideals and sequentially Cohen-Macaulay modules
Nguyen Tu Cuong
Hoang Le Truong
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 137 (01) : 19 - 26
[5] INDEX OF REDUCIBILITY OF DISTINGUISHED PARAMETER IDEALS AND SEQUENTIALLY COHEN-MACAULAY MODULES
Hoang Le Truong
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (06) : 1971 - 1978
[6] Sequentially Cohen-Macaulay Rees algebras
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Tran Thi Phuong
Nguyen Thi Dung
Tran Nguyen An
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2017, 69 (01) : 293 - 309
[7] On the notion of sequentially Cohen–Macaulay modules
Giulio Caviglia
Alessandro De Stefani
Enrico Sbarra
Francesco Strazzanti
Research in the Mathematical Sciences, 2022, 9
[8] Cohen-Macaulay approximation in fibred categories
Ile, Runar
JOURNAL OF ALGEBRA, 2012, 367 : 142 - 165
[9] On the behavior of modules of m-integrable derivations in the sense of Hasse-Schmidt under base change
Tirado Hernandez, Maria de la Paz
ADVANCES IN MATHEMATICS, 2020, 370

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