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This article is a generalization of a result in Quillen's note ``Moduletheory over non-unital rings'' giving a one-to-one correspondence betweenbilocalization of abelian categories of modules and idempotent ideals of thebase ring. Faltings; Gabber and Ramero established almost mathematics, the sameas Quillen's bilocalization of a category of modules by nil modules. In thispaper, by using the theory of Smith ideals mentioned in Hovey and Smith, weconsider almost mathematics of symmetric monoidal pointed model categories. Weprove a weak analogue of the one-to-one correspondence in Quillen.

Almost mathematics of pointed symmetric monoidal model categories by Smith ideal theory