Belangrijkste concepten
This paper establishes bounds on the projective dimension of DG-modules over commutative noetherian DG-rings with finite amplitude, effectively answering Bass's questions regarding finitistic dimensions in this context.
Citaten
"In this paper we study the finitistic dimensions of commutative noetherian non-positive DG-rings with finite amplitude."
"We prove that any DG-module M of finite flat dimension over such a DG-ring satisfies proj dimA(M) ≤dim(H0(A)) −inf(M)."
"dim(H0(A)) −amp(A) ≤FPD(A) ≤dim(H0(A))."