| Autor: |
Chhiti, Mohamed, Mahdou, Salah Eddine |
| Zdroj: |
Rendiconti del Circolo Matematico di Palermo (Series 2); Nov2024, Vol. 73 Issue 7, p2399-2411, 13p |
| Abstrakt: |
In this paper, we introduce a new class of rings in which every S-finitely presented ideal is finitely presented called SWC-rings. Hence, a ring is coherent if and only if it is S-coherent and an SWC-ring. We study the transfer of this notion to various context of commutative ring extensions such as direct product, trivial ring extensions and pullbacks. Our results generate families of examples of non-S-coherent SWC-rings and non-SWC S-coherent rings. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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