Naïve liftings of DG modules

S Nasseh, M Ono, Y Yoshino - Mathematische Zeitschrift, 2022 - Springer
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 …

Diagonal tensor algebra and naive liftings

S Nasseh, M Ono, Y Yoshino - arXiv preprint arXiv:2309.05293, 2023 - arxiv.org
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 …

Obstruction to naive liftability of DG modules

S Nasseh, M Ono, Y Yoshino - arXiv preprint arXiv:2109.00607, 2021 - arxiv.org
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 …

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

N Saeed, M Ono, Y Yoshino - Communications in Algebra, 2024 - Taylor & Francis
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 …