English

Totally reflexive modules over connected sums with m^3=0

Commutative Algebra 2019-05-07 v1

Abstract

We give a criterion for rings with \m3=0\m^3=0 which are obtained as connected sums of two other rings to have non-trivial totally acyclic modules.

Keywords

Cite

@article{arxiv.1905.02032,
  title  = {Totally reflexive modules over connected sums with m^3=0},
  author = {Adela Vraciu},
  journal= {arXiv preprint arXiv:1905.02032},
  year   = {2019}
}
R2 v1 2026-06-23T08:58:07.765Z