On the semifree resolutions of DG algebras over the enveloping DG algebras
- Resource Type
- Working Paper
- Authors
- Nasseh, Saeed; Ono, Maiko; Yoshino, Yuji
- Source
- Subject
- Mathematics - Commutative Algebra
- Language
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.