Remarks on cotorsion theories
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2023
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915042857844736 |
|---|---|
| author | Stanculescu, Alexandru |
| author_facet | Stanculescu, Alexandru |
| contents | We present some results from classical homological algebra using the language of cotorsion theories in abelian categories. The results are a couple of foundational facts about homological dimension, the Kunneth formula and the universal coefficients formula. We also present some ''totally acyclic'' cotorsion theories and revisit some results from the literature concerning resolutions of chain complexes in abelian categories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2307_11208 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Remarks on cotorsion theories Stanculescu, Alexandru Category Theory K-Theory and Homology 18Gxx We present some results from classical homological algebra using the language of cotorsion theories in abelian categories. The results are a couple of foundational facts about homological dimension, the Kunneth formula and the universal coefficients formula. We also present some ''totally acyclic'' cotorsion theories and revisit some results from the literature concerning resolutions of chain complexes in abelian categories. |
| title | Remarks on cotorsion theories |
| topic | Category Theory K-Theory and Homology 18Gxx |
| url | https://arxiv.org/abs/2307.11208 |