| Autor: |
Assem, Ibrahim, Bustamante, Juan Carlos, Dionne, Julie, Meur, Patrick Le, Smith, David |
| Rok vydání: |
2016 |
| Předmět: |
|
| Zdroj: |
Colloq. Math. 155, 2 (2018) 157--186 |
| Druh dokumentu: |
Working Paper |
| DOI: |
10.4064/cm7511-3-2018 |
| Popis: |
Let C be a finite dimensional algebra of global dimension at most two. A partial relation extension is any trivial extension of C by a direct summand of its relation C-C-bimodule. When C is a tilted algebra, this construction provides an intermediate class of algebras between tilted and cluster tilted algebras. The text investigates the representation theory of partial relation extensions. When C is tilted, any complete slice in the Auslander-Reiten quiver of C embeds as a local slice in the Auslander-Reiten quiver of the partial relation extension; Moreover, a systematic way of producing partial relation extensions is introduced by considering direct sum decompositions of the potential arising from a minimal system of relations of C. |
| Databáze: |
arXiv |
| Externí odkaz: |
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