The cotriple resolution of differential graded algebras
The cotriple resolution of differential graded algebras
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微分分级代数的三重分解
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发表时间：
2015
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通讯作者：
B. Fresse
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作者：
B. Fresse
研究微分分次模中算子上代数的余三重分解。我们专注于，更准确地说，在微分分次Barratt-Eccles运算代数的例子和交换代数的例子。我们证明了余三重分解的几何实现（在模型范畴的意义上）给出了这些微分分次代数范畴上的余三重分解函子。
We consider the cotriple resolution of algebras over operads in differential graded modules. We focus, to be more precise, on the example of algebras over the differential graded Barratt-Eccles operad and on the example of commutative alegbras. We prove that the geometric realization of the cotriple resolution (in the sense of model categories) gives a cofibrant resolution functor on these categories of differential graded algebras.