4 citations · 15 across the 18 of their papers we have counts for
19 papers
Three-periodic helices on elliptic curves and their associated regular algebras
Daniel Chan, Adam Nyman
Let denote an algebraically closed field of characteristic zero and let denote a smooth elliptic curve over . Given a three-periodic elliptic helix $\underline{\mathcal{…
A categorical characterization of quantum projective -spaces
Izuru Mori, Adam Nyman
In this paper, we study a generalization of the notion of AS-regularity for connected -algebras. Our main result is a characterization of those categories equivalent to…
Noncommutative linear systems and noncommutative elliptic curves
Daniel Chan, Adam Nyman
In this paper we introduce a noncommutative analogue of the notion of linear system, which we call a helix in an a…
Morphisms to noncommutative projective lines
D. Chan, A. Nyman
Let be a field, let be a -linear abelian category, let be a sequence of objects in , and…
Local duality for connected Z-algebras
Izuru Mori, Adam Nyman
We develop basic homological machinery for Z-algebras in order to prove a version of local duality for Ext-finite connected Z-algebras. As an application, we compare two notions of…
A representation theoretic study of noncommutative symmetric algebras
Daniel Chan, Adam Nyman
We study Van den Bergh's noncommutative symmetric algebra (over division rings) via Minamoto's theory of Fano algebras. In particular, we show $\mathbb{S}^{nc}…