Academic Journal
On the C-flatness and injectivity of character modules
| العنوان: | On the C-flatness and injectivity of character modules |
|---|---|
| المؤلفون: | Zhaoyong Huang |
| المصدر: | Electronic Research Archive, Vol 30, Iss 8, Pp 2899-2910 (2022) |
| بيانات النشر: | AIMS Press, 2022. |
| سنة النشر: | 2022 |
| المجموعة: | LCC:Mathematics LCC:Applied mathematics. Quantitative methods |
| مصطلحات موضوعية: | character modules, c-flatness, c-projectivity, c-(fp-)injectivity, left coherent (and right perfect) rings, left noetherian rings, left artinian rings, Mathematics, QA1-939, Applied mathematics. Quantitative methods, T57-57.97 |
| الوصف: | Let $ R, S $ be arbitrary associative rings and $ _RC_S $ a semidualizing bimodule. We give some equivalent characterizations for $ R $ being left coherent (and right perfect) rings, left Noetherian rings and left Artinian rings in terms of the $ C $-($ {\mathop{{{\text{FP}}}}\nolimits} $-)injectivity, flatness and projectivity of character modules of certain left $ S $-modules. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 2688-1594 |
| Relation: | https://doaj.org/toc/2688-1594 |
| DOI: | 10.3934/era.2022147?viewType=HTML |
| DOI: | 10.3934/era.2022147 |
| URL الوصول: | https://doaj.org/article/febc634790154c8a83e7d48ba5212395 |
| رقم الانضمام: | edsdoj.febc634790154c8a83e7d48ba5212395 |
| قاعدة البيانات: | Directory of Open Access Journals |
| تدمد: | 26881594 |
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| DOI: | 10.3934/era.2022147?viewType=HTML |