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Daniele Tampieri
Daniele Tampieri
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Let ( I )$( I )$ be an ideal in the ring ( R )$( R )$ of all holomorphic functions of a single complex variable on the complex plane. I am interested in understanding whether it is possible for ( I )$( I )$ to be non-finitely generated.

Has there been any prior research on this specific question, or are there known conditions under which an ideal in ( R )$( R )$ would necessarily be finitely generated or not? Any insights, references, or approaches would be greatly appreciated.

Let ( I ) be an ideal in the ring ( R ) of all holomorphic functions of a single complex variable on the complex plane. I am interested in understanding whether it is possible for ( I ) to be non-finitely generated.

Has there been any prior research on this specific question, or are there known conditions under which an ideal in ( R ) would necessarily be finitely generated or not? Any insights, references, or approaches would be greatly appreciated.

Let $( I )$ be an ideal in the ring $( R )$ of all holomorphic functions of a single complex variable on the complex plane. I am interested in understanding whether it is possible for $( I )$ to be non-finitely generated.

Has there been any prior research on this specific question, or are there known conditions under which an ideal in $( R )$ would necessarily be finitely generated or not? Any insights, references, or approaches would be greatly appreciated.

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YCor
YCor
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Haze
Haze
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Can an ideal in the ring of holomorphic functions on the complex plane be non-finitely generated?

Let ( I ) be an ideal in the ring ( R ) of all holomorphic functions of a single complex variable on the complex plane. I am interested in understanding whether it is possible for ( I ) to be non-finitely generated.

Has there been any prior research on this specific question, or are there known conditions under which an ideal in ( R ) would necessarily be finitely generated or not? Any insights, references, or approaches would be greatly appreciated.