Weak normality, Gorenstein and Serre's conditions
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2020
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914651583807488 |
|---|---|
| author | Asgharzadeh, Mohsen |
| author_facet | Asgharzadeh, Mohsen |
| contents | We compute the associated prime ideals of the normalization modulo the ring, and establish connections between different types of generalizations
(resp. specializations) of the normalization. This has some applications. For example, we present a characterization of quasi-normality, in the format that was conjectured by Vasconcelos. Also, we show in some cases, the normalization modulo the ring, is homologically reduced. This provides a partial answer to the conjecture of Matlis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2009_10682 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Weak normality, Gorenstein and Serre's conditions Asgharzadeh, Mohsen Commutative Algebra We compute the associated prime ideals of the normalization modulo the ring, and establish connections between different types of generalizations (resp. specializations) of the normalization. This has some applications. For example, we present a characterization of quasi-normality, in the format that was conjectured by Vasconcelos. Also, we show in some cases, the normalization modulo the ring, is homologically reduced. This provides a partial answer to the conjecture of Matlis. |
| title | Weak normality, Gorenstein and Serre's conditions |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2009.10682 |