English

Reflexivity and connectedness

Commutative Algebra 2012-12-04 v1

Abstract

Given a finitely generated module over a commutative noetherian ring that satisfies certain reflexivity conditions, we show how failure of the semidualizing property for the module manifests in a disconnection of the prime spectrum of the ring.

Keywords

Cite

@article{arxiv.1212.0131,
  title  = {Reflexivity and connectedness},
  author = {Sean Sather-Wagstaff},
  journal= {arXiv preprint arXiv:1212.0131},
  year   = {2012}
}

Comments

10 pages

R2 v1 2026-06-21T22:47:19.289Z