91 citations · 386 across the 48 of their papers we have counts for
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math.RT2012★ 3 cited
From submodule categories to preprojective algebras
Claus Michael Ringel, Pu Zhang
Let S(n) be the category of invariant subspaces of nilpotent operators with nilpotency index at most n. Such submodule categories have been studied already in 1936 by Birkhoff, the…
math.RT2012
Distinguished bases of exceptional modules
Claus Michael Ringel
Exceptional modules are tree modules. A tree module usually has many tree bases and the corresponding coefficient quivers may look quite differently. The aim of this note is to int…
math.RT2012
The Gorenstein projective modules for the Nakayama algebras. I
Claus Michael Ringel
The aim of this note is to outline the structure of the category of the Gorenstein projective modules for a Nakayama algebra. We are going to introduce the resolution quiver of suc…