The notion of naive lifting of DG modules was introduced by the authors in [16, 17] for the
purpose of studying problems in homological commutative algebra that involve self …

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 …

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 …

A major part of this paper is devoted to an in-depth study of j-operators and their properties.
This study enables us to obtain several results on liftings and weak liftings of DG modules …

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 …

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 …

Applications of Differential Graded Algebra Techniques in Commutative Algebra |
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This talk is based on a join work with Yuji Yoshino [4]. M. Auslander, S. Ding and Ø. Solberg
[1] studied liftings and weak liftings of finitely generated modules over a commutative …

Homological algebra has its roots in algebraic topology. In the 1950s, H. Cartan and S.
Eilenberg developed homological algebra as a fundamental common tool in various fields …