8 citations · 9 across the 11 of their papers we have counts for
11 papers
Connections and naïve lifting of DG modules
Saeed Nasseh, Maiko Ono, Yuji Yoshino
In this paper, we generalize the notion of connections, which was introduced by Alain Connes in noncommutative differential geometry, to the differential graded (DG) homological al…
Semi-fiber products of algebras and lifting of complexes
Saeed Nasseh, Maiko Ono, Yuji Yoshino
Let be a field. In this paper, we define the notion of semi-fiber products of commutative -algebras and show that the class of such rings contains several classes of commuta…
Tor algebra of local rings with decomposable maximal ideal
Saeed Nasseh, Maiko Ono, Yuji Yoshino
Let be a commutative noetherian local ring. Assuming that is a direct sum decomposition, where and are non-zero ideals of ,…
Diagonal tensor algebra and naive liftings
Saeed Nasseh, Maiko Ono, Yuji Yoshino
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-vanishi…
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,…