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 (Formula presented.), where (Formula presented.) is a DG subalgebra and B is semifree over A. Our construction of such a semifree resolution, that we denote by (Formula presented.), uses the notions of reduced bar resolution and tensor algebra of the shift of the diagonal ideal. As an application of (Formula presented.), we provide a new characterization of naïve liftability of semifree DG B-modules.
Original language | English |
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Pages (from-to) | 657-667 |
Number of pages | 11 |
Journal | Communications in Algebra |
Volume | 52 |
Issue number | 2 |
DOIs | |
State | Published - 2024 |
Scopus Subject Areas
- Algebra and Number Theory
Keywords
- Bar resolution
- DG algebra
- DG module
- diagonal ideal
- enveloping DG algebra
- lifting
- reduced bar resolution
- semifree resolution
- tensor algebra
- universal derivation