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Non-existence of power divided structure on a maximal ideal of truncated polynomial rings (e...
Suppose that $I$ admits a divided power structure. On the one hand, $\gamma_p(x_1x_2+x_3x_4+x_5x_6)$ has to be equal to zero because the element $x_1x_2+x_3x_4+x_5x_6$ is zero in our ring, but let's e …