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 …

Let n be a positive integer, and let A be a strongly commutative differential graded (DG)
algebra over a commutative ring R. Assume that B= A [X 1,…, X n] is a polynomial extension …

The notion of naïve lifting of differential graded (DG) modules along certain DG algebra
extensions was introduced by the authors for the purpose of studying problems in …

The notion of naive liftability of DG modules is introduced in [9] and [10]. In this paper, we
study the obstruction to naive liftability along extensions $ A\to B $ of DG algebras, where …

Abstract Let B= A< X| d X= t> be an extended DG algebra by the adjunction of a variable of
positive even degree n, and let N be a semi-free DG B-module that is assumed to be …

FREE RESOLUTIONS FOR DIFFERENTIAL MODULES OVER DIFFERENTIAL ALGEBRAS T.
Kadeishvili and P. Real UDC 512.661.4 Page 1 Journal of Mathematical Sciences, Vol. 152 …

In this paper we undertake a basic study on connective commutative differential graded
algebras (CDGA), more precisely, piecewise Noetherian CDGA, which is a DG-counter part …

Let M and N be differential graded (DG) modules over a positively graded commutative DG
algebra A. We show that the Ext-groups Ext A i (M, N) defined in terms of semi-projective …

An explicit formula for a canonical splitting $ s: Q\mathcal {B}({\mathcal {E}^\cdot})\to\mathcal
{B}({\mathcal {E}^\cdot}) $ of the projection $\mathcal {B}({\mathcal {E}^\cdot})\to Q\mathcal …

This paper generalises a result for upper triangular matrix rings to the situation of upper
triangular matrix differential graded algebras. An upper triangular matrix DGA has the form …