## Lacking depth

A crude module joke. I went there.

Bonus points if you can apply the Auslander-Buchsbaum formula for humorous effect. (Of course all rings are commutative, local, Noetherian, and all modules have finite projective dimension.)

Mathematical Cartoons inspired by Sharpie Fumes

A crude module joke. I went there.

Bonus points if you can apply the Auslander-Buchsbaum formula for humorous effect. (Of course all rings are commutative, local, Noetherian, and all modules have finite projective dimension.)

I googled Auslander-Buchsbaum and this comic was hit #3. Fortunately, #2 was wikipedia. Being a lowly physicist, that was about as far as I got, but I imagine you’re looking for something about being maximally ideal in his associated prime… except I think I got it backwards. I really only understand about half your comics :-)

Sigma Freud: “It is well known that one’s ‘depth’ is implicit differently in each facet of one’s personality, composed of both the facet’s actual depth and the fictional depth the facet chooses to project.”

“The success of the projection depends on the degree of uplifting freedom that facet brings to the underlying being.” (q.v. category theoretic take on projective modules)

Meh.