English

Characterization of quasi-coherent modules that are module schemes

Commutative Algebra 2011-11-10 v2

Abstract

The R-module functors that are essential for the development of the theory of the linear representations of an affine R-group are the quasi-coherent R-modules and the R-module schemes. The aim of this paper is to study when a quasi-coherent R-module is an R-module scheme. We will prove that it is equivalent to giving a characterization of projective R-modules of finite type.

Keywords

Cite

@article{arxiv.0709.3412,
  title  = {Characterization of quasi-coherent modules that are module schemes},
  author = {Amelia Álvarez Sánchez and Carlos Sancho de Salas and Pedro Sancho de Salas},
  journal= {arXiv preprint arXiv:0709.3412},
  year   = {2011}
}

Comments

2 pages; typo added in Corollary 1.2

R2 v1 2026-06-21T09:20:03.507Z