Free resolutions of Artinian compressed algebras

JOURNAL OF ALGEBRA

卷:497

Article

Miller, Claudia¹  Rahmati, Hamidreza² 

[1] Syracuse Univ, Math Dept, Syracuse, NY 13244 USA

[2] Miami Univ, Dept Math, Oxford, OH 45056 USA

关键词: Free resolution;    Artinian algebras;    Compressed;    Inverse system;   

DOI  :  10.1016/j.jalgebra.2017.11.020

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free