Free resolutions of Artinian compressed algebras

Claudia Miller; Hamidreza Rahmati

doi:10.1016/j.jalgebra.2017.11.020

Free resolutions of Artinian compressed algebras

Claudia Miller, Hamidreza Rahmati

Department of Mathematics

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

6 Scopus citations

Abstract

We construct free resolutions of compressed (therefore, generic) Artinian graded algebra quotients of polynomial rings and give a method to reduce them to a minimal resolutions. This yields results on the form of the resolution and the degrees of the forms in the matrices of the differentials, but not precise Betti numbers. In addition, we discuss how this construction is related to a conjecture of Boij. Last, we treat the noncompressed case.

Original language	English (US)
Pages (from-to)	270-301
Number of pages	32
Journal	Journal of Algebra
Volume	497
DOIs	https://doi.org/10.1016/j.jalgebra.2017.11.020
State	Published - Mar 1 2018

Keywords

Artinian algebras
Compressed
Free resolution
Inverse system

ASJC Scopus subject areas

Algebra and Number Theory

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10.1016/j.jalgebra.2017.11.020

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AB - We construct free resolutions of compressed (therefore, generic) Artinian graded algebra quotients of polynomial rings and give a method to reduce them to a minimal resolutions. This yields results on the form of the resolution and the degrees of the forms in the matrices of the differentials, but not precise Betti numbers. In addition, we discuss how this construction is related to a conjecture of Boij. Last, we treat the noncompressed case.

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KW - Compressed

KW - Free resolution

KW - Inverse system

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ER -

Free resolutions of Artinian compressed algebras

Abstract

Keywords

ASJC Scopus subject areas

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