Academic Journal
Krull-gabriel dimension of domestic string algebras
| العنوان: | Krull-gabriel dimension of domestic string algebras |
|---|---|
| المؤلفون: | Laking, R., Prest, M., Puninski, G. |
| المساهمون: | Laking, R., Prest, M., Puninski, G. |
| سنة النشر: | 2018 |
| المجموعة: | Università degli Studi di Verona: Catalogo dei Prodotti della Ricerca (IRIS) |
| مصطلحات موضوعية: | Domestic string algebra, Krull-Gabriel dimension, Cantor-Bendixson rank, m-dimension, Ziegler spectrum, pure-injective module, transfinite radical, pointed module, pp formula |
| الوصف: | We calculate the Krull-Gabriel dimension of the category of modules over any domestic string algebra, in particular showing that it is finite, thus confirming a conjecture of Schroer. We also compute the Cantor-Bendixson rank of each point of its Ziegler spectrum and determine the topology on this space. |
| نوع الوثيقة: | article in journal/newspaper |
| وصف الملف: | STAMPA |
| اللغة: | English |
| Relation: | info:eu-repo/semantics/altIdentifier/wos/WOS:000432462400011; volume:370; issue:7; firstpage:4813; lastpage:4840; numberofpages:28; journal:TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY; http://hdl.handle.net/11562/1056412; info:eu-repo/semantics/altIdentifier/scopus/2-s2.0-85045670070 |
| DOI: | 10.1090/tran/7093 |
| الاتاحة: | http://hdl.handle.net/11562/1056412 https://doi.org/10.1090/tran/7093 |
| Rights: | info:eu-repo/semantics/openAccess |
| رقم الانضمام: | edsbas.29A07A9D |
| قاعدة البيانات: | BASE |
| DOI: | 10.1090/tran/7093 |
|---|