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Change the title to reflect better the question and some other small improvements
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edit approved Jul 7, 2013 at 10:04
user26857
edit approved Jul 7, 2013 at 10:04
user26857
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Local ring $(R,m\mathfrak m)$ such that $m^2$$\mathfrak m^2$ is the unique minimal ideal

When $\mathfrak m^2$ is the unique minimal ideal in a local ring $(R,\mathfrak m)$?

When $m^2$ is uniqe minimal ideal in a local ring $(R,m)$? noteNote that in this case $m^3$=0$\mathfrak m^3=0$ in $R$ ,furthermore. Furthermore assume that $char(R)$$\operatorname{char}(R)$ is finite.

Local ring $(R,m)$ such that $m^2$ is minimal ideal

When $m^2$ is uniqe minimal ideal in a local ring $(R,m)$? note that in this case $m^3$=0 in $R$ ,furthermore assume that $char(R)$ is finite.

Local ring $(R,\mathfrak m)$ such that $\mathfrak m^2$ is the unique minimal ideal

When $\mathfrak m^2$ is the unique minimal ideal in a local ring $(R,\mathfrak m)$?

Note that in this case $\mathfrak m^3=0$ in $R$. Furthermore assume that $\operatorname{char}(R)$ is finite.

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lina
lina
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Local ring $(R,m)$ such that $m^2$ is minimal ideal

When $m^2$ is uniqe minimal ideal in a local ring $(R,m)$? note that in this case $m^3$=0 in $R$ ,furthermore assume that $char(R)$ is finite.