324 citations · 378 across the 24 of their papers we have counts for
24 papers
On the semifree resolutions of DG algebras over the enveloping DG algebras
Saeed Nasseh, Maiko Ono, Yuji Yoshino
The goal of this paper is to construct a semifree resolution for a non-negatively graded strongly commutative DG algebra over the enveloping DG algebra , where $A\…
Obstruction to naive liftability of DG modules
Saeed Nasseh, Maiko Ono, Yuji Yoshino
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 of DG algebras,…
Naive liftings of DG modules
Saeed Nasseh, Maiko Ono, Yuji Yoshino
Let n be a positive integer, and let A be a strongly commutative differential graded (DG) algebra over a commutative ring R. Assume that (a) B=A[X_1,...,X_n] is a polynomial extens…
The theory of j-operators with application to (weak) liftings of DG modules
Saeed Nasseh, Maiko Ono, Yuji Yoshino
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…
An Auslander-Reiten principle in derived categories
Maiko Ono, Yuji Yoshino
We give a principle in derived categories, which lies behind the classical Auslander-Reiten duality and its generalized version by Iyama and Wemyss. We apply the principle to show…
A lifting problem for DG modules
Maiko Ono, Yuji Yoshino
Let be an extended DG algebra by the adjunction of variable of positive even degree , and let be a semi-free DG -module that is assumed to be bounded…