Semifree resolutions of DG algebras over the enveloping DG algebras

Saeed Nasseh, Maiko Ono and Yuji Yoshino

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.

Communications in Algebra

Taylor and Francis

52

2

657

667