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 $B\otimes_AB$, 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.
- Publication:
-
arXiv e-prints
- Pub Date:
- January 2023
- DOI:
- 10.48550/arXiv.2301.12267
- arXiv:
- arXiv:2301.12267
- Bibcode:
- 2023arXiv230112267N
- Keywords:
-
- Mathematics - Commutative Algebra