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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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

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

First available in Project Euclid: 18 January 2017

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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]

dimension filtration sequentially Cohen–Macaulay module Rees module


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.

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