44 citations · 110 across the 20 of their papers we have counts for
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math.RA2017★ 4 cited
Integrality of noetherian Grothendieck categories
Ryo Kanda
We introduce the notion of integrality of Grothendieck categories as a simultaneous generalization of the primeness of noncommutative noetherian rings and the integrality of locall…
math.RA2017★ 1 cited
Flat families of point schemes for connected graded algebras
Alex Chirvasitu, Ryo Kanda
We study truncated point schemes of connected graded algebras as families over the parameter space of varying relations for the algebras, proving that the families are flat over th…
math.QA2017★ 3 cited
New Artin-Schelter regular and Calabi-Yau algebras via normal extensions
Alex Chirvasitu, Ryo Kanda, S. Paul Smith
We introduce a new method to construct 4-dimensional Artin-Schelter regular algebras as normal extensions of (not necessarily noetherian) 3-dimensional ones. The method produces la…