English

Some dimensions of DG polynomial algebras

Rings and Algebras 2019-04-25 v3 Representation Theory

Abstract

Assume that A\mathcal{A} is a cochain DG polynomial algebra such that its underlying graded algebra \mathcal{A}^{#} is a polynomial algebra generated by nn degree 11 elements. We determine the DG Krull dimension, the global dimension, the ghost dimension and the Rouquier dimension of A\mathcal{A}.

Keywords

Cite

@article{arxiv.1902.03762,
  title  = {Some dimensions of DG polynomial algebras},
  author = {Xuefeng Mao and Maoyun Zhang},
  journal= {arXiv preprint arXiv:1902.03762},
  year   = {2019}
}