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 …

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 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 …

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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 …

arXiv:1202.0071v3 [math.AC] 16 Oct 2012 Page 1 arXiv:1202.0071v3 [math.AC] 16 Oct 2012
LIFTINGS AND QUASI-LIFTINGS OF DG MODULES SAEED NASSEH AND SEAN …

The paper explores dualizing differential graded (DG) modules over DG algebras. The focus
is on DG algebras that are commutative local, and finite. One of the main results established …

Let $\mathbf {k} $ be a field and $ n\geq 1$. There exist a differential graded $\mathbf {k} $-
module $(V, d) $ and various approximations to a differential $ d+ td_ {1}+ t^{2} d …

We study differential graded algebras (DGAs) whose homology is an exterior algebra over a
commutative ring R on a generator of degree n, and also certain types of differential …

Let A be a differential graded (DG) algebra with a trivial differential over a commutative unital
ring. This paper investigates the image of the totaling functor, defined from the category of …