A list of generators and relations offers a succinct presentation for an algebra over a field, but what can we deduce when looking at this presentation? If two algebras have similar presentations, they may also share other characteristics. I will illustrate several ways in which deformations of presentations can preserve ring theoretic properties. Unfortunately, this may require an infinite amount of additional information. I will discuss work with Brad Shelton (U. of Oregon) in which the problem is made finite via a homological constant attached to an algebra. I will demonstrate how this finite calculation works in several examples, and lay out the analogy to the enveloping algebras of Lie algebras.