Skip to content

Commit

Permalink
adjust order for category theory
Browse files Browse the repository at this point in the history
  • Loading branch information
hooyuser committed Jan 15, 2024
1 parent 761de6a commit b92d640
Show file tree
Hide file tree
Showing 2 changed files with 656 additions and 494 deletions.
5 changes: 3 additions & 2 deletions algebraic_construction.tex
Original file line number Diff line number Diff line change
Expand Up @@ -104,15 +104,16 @@ \chapter*{Notation Conventions}
\end{itemize}
We use sans-serif font for categories. Some common categories are
\begin{itemize}
\item $\mathsf{FinSet}$: the category of finite sets.
\item $\mathsf{Set}$: the category of sets.
\item $\mathsf{Mon}$: the category of monoids.
\item $\mathsf{Grp}$: the category of groups.
\item $\mathsf{Ab}$: the category of abelian groups.
\item $\mathsf{Ring}$: the category of rings.
\item $\mathsf{CRing}$: the category of commutative rings.
\item $\mathsf{Fld}$: the category of fields.
\item $\mathsf{Field}$: the category of fields.
\item $R\text{-}\mathsf{Mod}$: the category of left $R$-modules, where $R\in \mathrm{Ob}\left(\mathsf{Ring}\right)$.
\item $K\text{-}\mathsf{Vect}$: the category of $K$-vector spaces, where $K\in \mathrm{Ob}\left(\mathsf{Fld}\right)$.
\item $K\text{-}\mathsf{Vect}$: the category of $K$-vector spaces, where $K\in \mathrm{Ob}\left(\mathsf{Field}\right)$.
\item $R\text{-}\mathsf{Alg}$: the category of associative $R$-algebras, where $R\in \mathrm{Ob}\left(\mathsf{CRing}\right)$.
\item $R\text{-}\mathsf{CAlg}$: the category of commutative $R$-algebras, where $R\in \mathrm{Ob}\left(\mathsf{CRing}\right)$.
\item $\mathsf{Top}$: the category of topological spaces.
Expand Down
Loading

0 comments on commit b92d640

Please sign in to comment.