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math.AC2023
On generalized fraction and power series properties of -Noetherian rings
Xiaolei Zhang
In this note, we study the generalized fraction properties and power series properties of -Noetherian rings. Actually, we investigate two questions proposed in [A. Dab…
math.AC2023
A note on a Cohen-type theorem for -Artinian modules
Xiaolei Zhang
In this note, we prove that a -module is -Artinian if and only if it is -cofinitely generated and for every prime -ideal of with $(0:_RM)\subsete…