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math.AC2026
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…
math.AC2026
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…