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David White
David White
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Given a differential graded algebra $(A_\bullet,d)$, is there a well-defined notion of a K-injective, K-projective, K-flat dimension of a differential graded module, or even of the category of differential graded modules?

Moreover, if there is a well-defined notion, when are each of them finite? forFor example, does the koszulKoszul complex $K^\bullet_R(M;f_1,\ldots,f_k)$ have computable K-dimensions?

Given a differential graded algebra $(A_\bullet,d)$, is there a well-defined notion of a K-injective, K-projective, K-flat dimension of a differential graded module, or even of the category of differential graded modules?

Moreover, if there is a well-defined notion, when are each of them finite? for example, does the koszul complex $K^\bullet_R(M;f_1,\ldots,f_k)$ have computable K-dimensions?

Given a differential graded algebra $(A_\bullet,d)$, is there a well-defined notion of a K-injective, K-projective, K-flat dimension of a differential graded module, or even of the category of differential graded modules?

Moreover, if there is a well-defined notion, when are each of them finite? For example, does the Koszul complex $K^\bullet_R(M;f_1,\ldots,f_k)$ have computable K-dimensions?

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54321user
54321user
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Is there a notion of injective, projective, flat, dimension for a differential graded algebra?

Given a differential graded algebra $(A_\bullet,d)$, is there a well-defined notion of a K-injective, K-projective, K-flat dimension of a differential graded module, or even of the category of differential graded modules?

Moreover, if there is a well-defined notion, when are each of them finite? for example, does the koszul complex $K^\bullet_R(M;f_1,\ldots,f_k)$ have computable K-dimensions?