Deconstructible abstract elementary classes of modules and categoricity
| Autor: | Šaroch, Jan, Trlifaj, Jan |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | We prove a version of Shelah's Categoricity Conjecture for arbitrary deconstructible classes of modules. Moreover, we show that if $\mathcal{A}$ is a deconstructible class of modules closed under direct summands, and $\mathcal{A}$ fits in an abstract elementary class $(\mathcal{A},\preceq)$ such that $\preceq$ refines direct summands, then $\mathcal{A}$ is closed under arbitrary direct limits. Comment: 9 pages |
| Databáze: | arXiv |
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