Sequentially Cohen-Macaulay Rees algebras

Naoki Taniguchi; Tran Thi Phuong; Nguyen Thi Dung; Tran Nguyen An

doi:10.2969/jmsj/06910293

Sequentially Cohen-Macaulay Rees algebras

Naoki Taniguchi, Tran Thi Phuong, Nguyen Thi Dung, Tran Nguyen An

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

This paper studies the question of when the Rees algebras associated to arbitrary filtration of ideals are sequentially Cohen-Macaulay. Although this problem has been already investigated by [CGT], their situation is quite a bit of restricted, so we are eager to try the generalization of their results.

Original language	English
Pages (from-to)	293-309
Number of pages	17
Journal	Journal of the Mathematical Society of Japan
Volume	69
Issue number	1
DOIs	https://doi.org/10.2969/jmsj/06910293
Publication status	Published - 2017
Externally published	Yes

Keywords

Dimension filtration
Rees module
Sequentially Cohen-Macaulay module

ASJC Scopus subject areas

Mathematics(all)

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10.2969/jmsj/06910293

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title = "Sequentially Cohen-Macaulay Rees algebras",

abstract = "This paper studies the question of when the Rees algebras associated to arbitrary filtration of ideals are sequentially Cohen-Macaulay. Although this problem has been already investigated by [CGT], their situation is quite a bit of restricted, so we are eager to try the generalization of their results.",

keywords = "Dimension filtration, Rees module, Sequentially Cohen-Macaulay module",

author = "Naoki Taniguchi and Phuong, {Tran Thi} and Dung, {Nguyen Thi} and An, {Tran Nguyen}",

year = "2017",

doi = "10.2969/jmsj/06910293",

language = "English",

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T1 - Sequentially Cohen-Macaulay Rees algebras

AU - Taniguchi, Naoki

AU - Phuong, Tran Thi

AU - Dung, Nguyen Thi

AU - An, Tran Nguyen

PY - 2017

Y1 - 2017

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KW - Dimension filtration

KW - Rees module

KW - Sequentially Cohen-Macaulay module

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Sequentially Cohen-Macaulay Rees algebras

Abstract

Keywords

ASJC Scopus subject areas

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