324 citations · 378 across the 24 of their papers we have counts for
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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…