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math.RT2010★ 23 cited
A characterization of torsion theories in the cluster category of Dynkin type A_{\infty}
Puiman Ng
Let D be the cluster category of Dynkin type A_{\infty}. This paper provides a bijection between torsion theories in D and certain configurations of arcs connecting non-neighbourin…
math.RT2009
Existence of Auslander-Reiten sequences in subcategories
Puiman Ng
This paper studies the existence of Auslander-Reiten sequences in subcategories of mod A, where A is a finite dimensional algebra over a field. The two main theorems give necessary…