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Jun 9, 2014 at 1:11 comment added bzm3r Thanks a lot for this constructive answer. I will put some effort into doing some proper research on the matter, and maybe in the end, I will end up finding what you suspect. If not, I will then at least be able to post a better MO question.
Jun 9, 2014 at 1:06 vote accept bzm3r
Jun 8, 2014 at 20:11 comment added The Masked Avenger I don't say that you are misunderstanding the passage so much as putting too much hope in the generality. If you axiomatize exterior algebras, you will have a more general framework, which won't buy you much unless you take a model-theoretic or mathematical-logic perspective: the structures you study will still smell like exterior algebras with that axiomatization.
Jun 8, 2014 at 20:04 history answered The Masked Avenger CC BY-SA 3.0