This can be the second one a part of a sequence of papers referred to as ""HAG"", dedicated to constructing the principles of homotopical algebraic geometry. The authors commence by means of defining and learning generalizations of normal notions of linear algebra in an summary monoidal version class, comparable to derivations, etale and soft morphisms, flat and projective modules, and so forth. They then use their concept of stacks over version different types to outline a common suggestion of geometric stack over a base symmetric monoidal version classification $C$, and turn out that this suggestion satisfies the predicted homes.

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