Sequentially Cohen-Macaulay Rees algebras

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

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)293-309
Number of pages17
JournalJournal of the Mathematical Society of Japan
Volume69
Issue number1
DOIs
Publication statusPublished - 2017
Externally publishedYes

Fingerprint

Rees Algebra
Cohen-Macaulay
Filtration
Arbitrary
Generalization

Keywords

  • Dimension filtration
  • Rees module
  • Sequentially Cohen-Macaulay module

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Sequentially Cohen-Macaulay Rees algebras. / Taniguchi, Naoki; Phuong, Tran Thi; Dung, Nguyen Thi; An, Tran Nguyen.

In: Journal of the Mathematical Society of Japan, Vol. 69, No. 1, 2017, p. 293-309.

Research output: Contribution to journalArticle

Taniguchi, Naoki ; Phuong, Tran Thi ; Dung, Nguyen Thi ; An, Tran Nguyen. / Sequentially Cohen-Macaulay Rees algebras. In: Journal of the Mathematical Society of Japan. 2017 ; Vol. 69, No. 1. pp. 293-309.
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