The paper “An Algebraic Approach to the Control of Decentralized Systems” by me and Sanjay Lall was submitted to the inaugural issue of the Transactions on Control of Network Systems. The paper is a follow-up to our ACC’10 paper and my doctoral thesis. It gives an algebraic treatment of the notion of quadratic invariance, which can be used to analyze decentralized control problems. This new viewpoint is powerful because it allows one to work with rational transfer functions, for example, without needing to define an underlying topology or norm. Indeed, we only rely on the basic operations of addition and multiplication. Our paper is also available on arXiv.