User:Jshflynn/Rectangular Band Isomorphism Theorem

Theorem

Let $\left({S \times T, \circ}\right)$ be a rectangular band.

Then $\left({S \times T, \circ}\right)$ is isomorphic to the direct product of a left zero semigroup and a right zero semigroup.

Proof

Work In Progress You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by completing it. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{WIP}} from the code.