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Martin Sleziak
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edit approved May 9, 2015 at 19:40
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edit approved May 9, 2015 at 19:40
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Here is a question that I first asked in math.stackexchange, but I think the question must be proposed here. Here is a question that I first asked in math.stackexchange, but I think the question must be proposed here.

Let $R$ be a finite commutative ring with identity. Under what conditions the number of idealsthe number of ideals of $R$ is equal to the number of elementsthe number of elements of $R$?

The only class of rings with this property that I know is the class of finite boolean ringsfinite boolean rings. I do not know if the converse is true. So any suggestion would be helpful.

Here is a question that I first asked in math.stackexchange, but I think the question must be proposed here.

Let $R$ be a finite commutative ring with identity. Under what conditions the number of ideals of $R$ is equal to the number of elements of $R$?

The only class of rings with this property that I know is the class of finite boolean rings. I do not know if the converse is true. So any suggestion would be helpful.

Here is a question that I first asked in math.stackexchange, but I think the question must be proposed here.

Let $R$ be a finite commutative ring with identity. Under what conditions the number of ideals of $R$ is equal to the number of elements of $R$?

The only class of rings with this property that I know is the class of finite boolean rings. I do not know if the converse is true. So any suggestion would be helpful.

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alex alexeq
alex alexeq
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The number of ideals in a ring

Here is a question that I first asked in math.stackexchange, but I think the question must be proposed here.

Let $R$ be a finite commutative ring with identity. Under what conditions the number of ideals of $R$ is equal to the number of elements of $R$?

The only class of rings with this property that I know is the class of finite boolean rings. I do not know if the converse is true. So any suggestion would be helpful.