Generic derivations on algebraically bounded structures
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912117176664064 |
|---|---|
| author | Antongiulio, Fornasiero Giuseppina, Terzo |
| author_facet | Antongiulio, Fornasiero Giuseppina, Terzo |
| contents | Let K be an algebraically bounded structure and T be its theory. If T is model complete, then the theory of K endowed with a derivation, denoted by $T^δ$, has a model completion. Additionally, we prove that if the theory T is stable/NIP then the model completion of $T^δ$ is also stable/NIP. Similar results hold for the theory with several derivations, either commuting or non-commuting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_20511 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Generic derivations on algebraically bounded structures Antongiulio, Fornasiero Giuseppina, Terzo Logic Commutative Algebra 03C60, 12H05, 12L12, 03C10 Let K be an algebraically bounded structure and T be its theory. If T is model complete, then the theory of K endowed with a derivation, denoted by $T^δ$, has a model completion. Additionally, we prove that if the theory T is stable/NIP then the model completion of $T^δ$ is also stable/NIP. Similar results hold for the theory with several derivations, either commuting or non-commuting. |
| title | Generic derivations on algebraically bounded structures |
| topic | Logic Commutative Algebra 03C60, 12H05, 12L12, 03C10 |
| url | https://arxiv.org/abs/2310.20511 |