English

Local to global principles for generation time over commutative noetherian rings

Commutative Algebra 2020-12-03 v2

Abstract

In the derived category of modules over a commutative noetherian ring a complex GG is said to generate a complex XX if the latter can be obtained from the former by taking summands and finitely many cones. The number of cones required in this process is the generation time of XX. In this paper we present some local to global type results for computing this invariant, and discuss applications.

Keywords

Cite

@article{arxiv.1906.06104,
  title  = {Local to global principles for generation time over commutative noetherian rings},
  author = {Janina C. Letz},
  journal= {arXiv preprint arXiv:1906.06104},
  year   = {2020}
}

Comments

Revision. Incorporate Section 3 into Section 2. To appear in Homology, Homotopy and Applications

R2 v1 2026-06-23T09:53:39.420Z