FTA: John Abercrombie: "If everybody would stop pirating, if everybody would stop doing DRM, it would be a much happier world, wouldn't it? We'd have a lot more PC games sold and a lot more happier customers."

Just yet another industry guy who is either lying or fundamentally doesn't understand. Stop wasting your breath on this endless chicken-and-egg moral persuit of cosmic justice, and focus on what's best for you as a developer/publisher, and that is that removing DRM will increase your sales.

As a mathematician I would like to point out that anisotropy/isotropy are geometrical concepts, not algebraic. Homogeneity is probably what you meant, but neither this nor any related concepts even come close to describing "full algebra" as you say, this is certainly first year undergraduate material. Forgive me if I'm wrong, but you seem to imply that Algebra is some kind of complete packaged tool, like how we use Calculus, which is a great misconception. Algebra is still massively incomplete, so much so that I believe every university mathematical department in the entirety of the UK has at least some algebraic research division. There is still so much more algebra to learn, however I think your interests lie elsewhere. I would recommend some material on Differential Geometry or perhaps some introductory material on Topological Groups, both very fascinating subjects,