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On the semifree resolutions of DG algebras over the enveloping DG algebras
Published 28 Jan 2023 in math.AC | (2301.12267v2)
Abstract: The goal of this paper is to construct a semifree resolution for a non-negatively graded strongly commutative DG algebra $B$ over the enveloping DG algebra $B\otimes_AB$, where $A\subseteq B$ is a DG subalgebra and $B$ is semifree over $A$. Our construction of such a semifree resolution uses the notions of reduced bar resolution and tensor algebra of the shift of the diagonal ideal.
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