91 citations · 338 across the 27 of their papers we have counts for
21 papers · 1 filter
Gorenstein-Projective Modules over the Ring of Dual Integers
Xiu-Hua Luo, Markus Schmidmeier
The ring of dual integers is the bounded polynomial ring $\mathbb Z[\eps]=\mathbb Z[T]/(T^2)$ with integer coefficients. We describe the (finitely generated) Gorenstein-projective…
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…
A reflection equivalence for Gorenstein-projective quiver representations
Xiu-Hua Luo, Markus Schmidmeier
For a selfinjective algebra, and a finite quiver without oriented cycles, the algebra is a Gorenstein algebra and the category of Gorenstein-projective…
Hammocks to visualize the support of finitely presented functors
Markus Schmidmeier
Many properties of a module can be expressed in terms of the dimension of the vector space obtained by applying a finitely presented functor to that module. For example, the dimens…
The socle tableau as a dual version of the Littlewood-Richardson tableau
Justyna Kosakowska, Markus Schmidmeier
Like the LR-tableau, a socle tableau is given as a skew diagram with certain entries. Unlike in the LR-tableau, the entries in the socle tableau are weakly increasing in each row,…
Finite direct sums of cyclic embeddings
Justyna Kosakowska, Markus Schmidmeier
In this paper we generalize Kaplansky's combinatorial characterization of the isomorphism types of embeddings of a cyclic subgroup in a finite abelian group given in his 1951 book…