symmetric monoidal (∞,1)-category of spectra
The Krull dimension of a commutative ring $R$ is the supremum of lengths of chains
of distinct prime ideals in $R$.
If $R$ is a possibly noncommutative ring $R$ and $M$ a left $R$-module, then the Krull dimension of $M$ is by definition a deviation of the poset of subobjects of $M$.
A deviation of a poset is defined recursively.
the subposets of all elements between $a_n$ and $a_{n+1}$ do not have deviation of less than $\alpha$ for at most finitely many $n$.
Last revised on July 12, 2023 at 11:11:15. See the history of this page for a list of all contributions to it.