Rees algebras of unit interval determinantal facet ideals

Ayah Almousa; Kuei Nuan Lin; Whitney Liske

doi:10.1016/j.jpaa.2023.107601

Rees algebras of unit interval determinantal facet ideals

Ayah Almousa
, Kuei Nuan Lin
, Whitney Liske

Penn State Greater Allegheny

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

1 Scopus citations

Abstract

Using SAGBI basis techniques, we find Gröbner bases for the presentation ideals of the Rees algebras and special fiber rings of unit interval determinantal facet ideals. In particular, we show that unit interval determinantal facet ideals are of fiber type and that their special fiber rings are Koszul. Moreover, their Rees algebras and special fiber rings are normal Cohen-Macaulay domains and have rational singularities.

Original language	English (US)
Article number	107601
Journal	Journal of Pure and Applied Algebra
Volume	228
Issue number	5
DOIs	https://doi.org/10.1016/j.jpaa.2023.107601
State	Published - May 2024

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1016/j.jpaa.2023.107601

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title = "Rees algebras of unit interval determinantal facet ideals",

abstract = "Using SAGBI basis techniques, we find Gr{\"o}bner bases for the presentation ideals of the Rees algebras and special fiber rings of unit interval determinantal facet ideals. In particular, we show that unit interval determinantal facet ideals are of fiber type and that their special fiber rings are Koszul. Moreover, their Rees algebras and special fiber rings are normal Cohen-Macaulay domains and have rational singularities.",

author = "Ayah Almousa and Lin, \{Kuei Nuan\} and Whitney Liske",

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year = "2024",

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T1 - Rees algebras of unit interval determinantal facet ideals

AU - Almousa, Ayah

AU - Lin, Kuei Nuan

AU - Liske, Whitney

PY - 2024/5

Y1 - 2024/5

N2 - Using SAGBI basis techniques, we find Gröbner bases for the presentation ideals of the Rees algebras and special fiber rings of unit interval determinantal facet ideals. In particular, we show that unit interval determinantal facet ideals are of fiber type and that their special fiber rings are Koszul. Moreover, their Rees algebras and special fiber rings are normal Cohen-Macaulay domains and have rational singularities.

AB - Using SAGBI basis techniques, we find Gröbner bases for the presentation ideals of the Rees algebras and special fiber rings of unit interval determinantal facet ideals. In particular, we show that unit interval determinantal facet ideals are of fiber type and that their special fiber rings are Koszul. Moreover, their Rees algebras and special fiber rings are normal Cohen-Macaulay domains and have rational singularities.

UR - https://www.scopus.com/pages/publications/85182377323

UR - https://www.scopus.com/pages/publications/85182377323#tab=citedBy

U2 - 10.1016/j.jpaa.2023.107601

DO - 10.1016/j.jpaa.2023.107601

M3 - Article

AN - SCOPUS:85182377323

SN - 0022-4049

VL - 228

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

IS - 5

M1 - 107601

ER -

Rees algebras of unit interval determinantal facet ideals

Abstract

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