English

On the projectivity of finitely generated flat modules

Commutative Algebra 2019-08-16 v6

Abstract

In this paper, the projectivity of a finitely generated flat module of a commutative ring is studied through its exterior powers and invariant factors and then various new results are obtained. Specially, the related results of Endo, Vasconcelos, Wiegand, Cox-Rush and Puninski-Rothmaler on the projectivity of finitely generated flat modules are generalized.

Keywords

Cite

@article{arxiv.1701.07735,
  title  = {On the projectivity of finitely generated flat modules},
  author = {Abolfazl Tarizadeh},
  journal= {arXiv preprint arXiv:1701.07735},
  year   = {2019}
}

Comments

14 pages

R2 v1 2026-06-22T18:01:25.215Z