Journal of the Mathematical Society of Japan

Sequentially Cohen–Macaulay Rees algebras

Naoki TANIGUCHI, Tran Thi PHUONG, Nguyen Thi DUNG, and Tran Nguyen AN

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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.

Article information

Source
J. Math. Soc. Japan, Volume 69, Number 1 (2017), 293-309.

Dates
First available in Project Euclid: 18 January 2017

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1484730027

Digital Object Identifier
doi:10.2969/jmsj/06910293

Mathematical Reviews number (MathSciNet)
MR3597556

Zentralblatt MATH identifier
06701592

Subjects
Primary: 13A30: Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics
Secondary: 13H10: Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) [See also 14M05]

Keywords
dimension filtration sequentially Cohen–Macaulay module Rees module

Citation

TANIGUCHI, Naoki; PHUONG, Tran Thi; DUNG, Nguyen Thi; AN, Tran Nguyen. Sequentially Cohen–Macaulay Rees algebras. J. Math. Soc. Japan 69 (2017), no. 1, 293--309. doi:10.2969/jmsj/06910293. https://projecteuclid.org/euclid.jmsj/1484730027


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