Differential Graded Schemes I: Perfect Resolving Algebras

摘要

We introduce perfect resolving algebras and study their fundamentalproperties. These algebras are basic for our theory of differential gradedschemes, as they give rise to affine differential graded schemes. We alsointroduce etale morphisms. The purpose for studying these, is that they will beused to glue differential graded schemes from affine ones with respect to anetale topology.