Buchsbaum Stanley-Reisner rings with minimal multiplicity

Naoki Terai; Ken Ichi Yoshida

doi:10.1090/S0002-9939-05-08176-1

Buchsbaum Stanley-Reisner rings with minimal multiplicity

Naoki Terai, Ken Ichi Yoshida

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

8 Citations (Scopus)

Abstract

In this paper, we study Buchsbaum Stanley-Reisner rings with linear free resolution. We introduce the notion of Buchsbaum Stanley-Reisner rings with minimal multiplicity of initial degree q, which extends the notion of Buchsbaum rings with minimal multiplicity defined by Goto. As an application, we give many examples of non-Cohen-Macaulay Buchsbaum StanleyReisner rings with linear resolution.

Original language	English
Pages (from-to)	55-65
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	134
Issue number	1
DOIs	https://doi.org/10.1090/S0002-9939-05-08176-1
Publication status	Published - Jan 2006
Externally published	Yes

Keywords

Alexander duality
Buchsbaum ring
Linear resolution
Minimal multiplicity
Regularity
Stanley-Reisner ring

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-05-08176-1

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AU - Terai, Naoki

AU - Yoshida, Ken Ichi

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AB - In this paper, we study Buchsbaum Stanley-Reisner rings with linear free resolution. We introduce the notion of Buchsbaum Stanley-Reisner rings with minimal multiplicity of initial degree q, which extends the notion of Buchsbaum rings with minimal multiplicity defined by Goto. As an application, we give many examples of non-Cohen-Macaulay Buchsbaum StanleyReisner rings with linear resolution.

KW - Alexander duality

KW - Buchsbaum ring

KW - Linear resolution

KW - Minimal multiplicity

KW - Regularity

KW - Stanley-Reisner ring

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Buchsbaum Stanley-Reisner rings with minimal multiplicity

Abstract

Keywords

ASJC Scopus subject areas

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