On the semifree resolutions of DG algebras over the enveloping DG algebras
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 BAB, where A⊂eq 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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