tensor product theory

If $A$ and $B$ are algebraic theories, the algebraic theory $A\otimes B$ is characterized by the fact that its models can be identified with $A$-models in $B Mod$, or equivalently as $B$-models in $A Mod$. There are maps of theories $A\to A\otimes B$ and $B\to A\otimes B$ which are universal for maps of theories $A\to C$ and $B\to C$ whose images commute, for any theory $C$.

Last revised on June 25, 2009 at 20:10:52. See the history of this page for a list of all contributions to it.