English

Differential graded Brauer groups over dg-rings

Rings and Algebras 2026-05-07 v2

Abstract

We define a Brauer group for differential graded algebras over differential graded graded-commutative or commutative base rings. Based on previous work we give an explicit classification of dg-fields, and compute the so-defined Brauer group in each case explicitly.

Keywords

Cite

@article{arxiv.2604.08069,
  title  = {Differential graded Brauer groups over dg-rings},
  author = {Xiaoxiao Xu and Alexander Zimmermann},
  journal= {arXiv preprint arXiv:2604.08069},
  year   = {2026}
}
R2 v1 2026-07-01T12:00:55.265Z