English

Homological subsets of Spec

Commutative Algebra 2021-02-09 v4

Abstract

We recover some data of a module MM from the Ext-family {\ExtRi(M,R)}\{\Ext^i_R(M,R)\}. In this regard, we investigate homological subsets of \Spec(R)\Spec(R), defined by the help of Ext-family. We extend Grothendieck's calculation of dim(\ExtRg(M,R))\dim(\Ext^g_R(M,R)). Also, we compute support and the set of all associated prime ideals of the Ext-family in a serial of nontrivial cases.

Keywords

Cite

@article{arxiv.1701.03001,
  title  = {Homological subsets of Spec},
  author = {Mohsen Asgharzadeh},
  journal= {arXiv preprint arXiv:1701.03001},
  year   = {2021}
}
R2 v1 2026-06-22T17:47:22.047Z