91 citations · 386 across the 48 of their papers we have counts for
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The brick chain complexity of an artin algebra
Claus Michael Ringel
We consider the category of finitely generated modules over an artin algebra . It is known that any module has a brick chain filtration. We say that M has brick chain comple…
Brick chain filtrations
Claus Michael Ringel
We deal with the category of finitely generated modules over an artin algebra . Recall that an object in an abelian category is said to be a brick provided its endomorphism ring…
Invariant Subspaces of Nilpotent Operators. Level, Mean, and Colevel: The Triangle
Claus Michael Ringel, Markus Schmidmeier
We consider the category of all pairs , where is a finite-dimensional vector space with a nilpotent operator with , and is a subspac…
The short local algebras of dimension 6 with non-projective reflexive modules
Claus Michael Ringel
Let be a finite-dimensional local algebra over an algebraically closed field, let be the radical of The modules we are interested in are the finitely generated left $A…
Are special biserial algebras homologically tame?
Claus Michael Ringel
Birge Huisgen-Zimmermann calls a finite dimensional algebra homologically tame provided the little and the big finitistic dimension are equal and finite. The question formulated in…
Linear Nakayama algebras which are higher Auslander algebras
Claus Michael Ringel
An artin algebra A is said to be a higher Auslander algebra provided the global dimension and the dominant dimension coincide. We say that a linear Nakayama algebra is monotone, pr…