On the semifree resolutions of DG algebras over the enveloping DG algebras

2023/01/28 by Saeed Nasseh, Nasseh, Saeed, Maiko Ono +3
Mathematics · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2301.12267

openalex publication_date 2023/01/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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⊗_AB, where A⊆ 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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