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 …
purpose of studying problems in homological commutative algebra that involve self …
The theory of j-operators with application to (weak) liftings of DG modules
S Nasseh, M Ono, Y Yoshino - Journal of Algebra, 2022 - Elsevier
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 …
This study enables us to obtain several results on liftings and weak liftings of DG modules …
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 …
study the obstruction to naive liftability along extensions $ A\to B $ of DG algebras, where …
On certain DG-algebra resolutions
TJ Puthenpurakal - arXiv preprint arXiv:2309.15440, 2023 - arxiv.org
In this paper we give several classes of Non-Gorenstein local rings $ A $ which satisfy the
property that $\text {Ext}^ i_A (M, A)= 0$ for $ i\gg 0$ then $\text {projdim} _A M $ is finite. We …
property that $\text {Ext}^ i_A (M, A)= 0$ for $ i\gg 0$ then $\text {projdim} _A M $ is finite. We …
Silting theory under change of rings
W Gnedin - arXiv preprint arXiv:2204.00608, 2022 - arxiv.org
The main goal of this paper is to compare the silting theory of an $ R $-algebra $\Lambda $
over a Noetherian ring $ R $ with that of its tensor product $\Lambda\otimes\Gamma $ with …
over a Noetherian ring $ R $ with that of its tensor product $\Lambda\otimes\Gamma $ with …
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 …
strongly commutative DG algebra B over the enveloping DG algebra B⊗ AB, where A⊆ B is …