Not to be confused with nilradical, the ideal of nilpotent elements.
symmetric monoidal (∞,1)-category of spectra
For $n$ a positive integer and $I$ a (left) ideal of a ring $R$, let $I^n$ denote the ideal of $R$ consisting of all finite sums of $n$-tuple products $i_1\cdots i_n$ of elements in $I$.
A (left) ideal $I$ of a ring $R$ is nilpotent if there exists a positive natural number $n$ such that $I^n$ is the zero ideal of $R$.
Last revised on January 12, 2023 at 18:13:33. See the history of this page for a list of all contributions to it.