Generic modules for the category of filtered by standard modules
| Autor: | Ramos, Raymundo Bautista, Terrazas, Jesús Efrén Pérez, Castro, Leonardo Salmerón |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Here we show that, given a finite homological system $({\cal P},\leq,\{\Delta_u\}_{u\in {\cal P}})$ for a finite-dimensional algebra $\Lambda$ over an algebraically closed field, the category ${\cal F}(\Delta)$ of $\Delta$-filtered modules is tame if and only if, for any $d\in \mathbb{N}$, there are only finitely many isomorphism classes of generic $\Lambda$-modules adapted to ${\cal F}(\Delta)$ with endolength $d$. We study the relationship between these generic modules and one-parameter families of indecomposables in ${\cal F}(\Delta)$. This study applies in particular to the category of filtered by standard modules for standardly stratified algebras. Comment: 41 pages |
| Databáze: | arXiv |
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