Let $k$ be a field. Is the following ring noetherian/artinian?
$$k\left<x,y,z\right>/\left<y^2 - xyz^5\right>$$
I ran into this problem and have no idea how to deal with it. Please help!
Let $k$ be a field. Is the following ring noetherian/artinian?
$$k\left<x,y,z\right>/\left<y^2 - xyz^5\right>$$
I ran into this problem and have no idea how to deal with it. Please help!
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