S-FP-injective modules
| Autor: | Bennis, Driss, Bouziri, Ayoub |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Let R be a commutative ring, and let S be a multiplicative subset of R. In this paper, we introduce and investigate the notion of S-FP-injective modules. Among other results, we show that, under certain conditions, a ring R is S-Noetherian if and only if every S-FP-injective R-module is S-injective. Moreover, we establish, under certain conditions, counterparts of Matlis, Stenstr\"om and Cheatham-Stone's characterizations of S-coherent rings. |
| Databáze: | arXiv |
| Externí odkaz: |
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