M. Schmidmeier

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math.RT2025

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…

math.RT2025

Invariant Subspaces of Nilpotent Operators. Level, Mean, and Colevel: The Triangle $T (n)$

Claus Michael Ringel, Markus Schmidmeier

We consider the category $S (n)$ of all pairs $X = (U, V)$ , where $V$ is a finite-dimensional vector space with a nilpotent operator $T$ with $T^{n} = 0$ , and $U$ is a subspac…

Gorenstein-Projective Modules over the Ring of Dual Integers

Invariant Subspaces of Nilpotent Operators. Level, Mean, and Colevel: The Triangle T(n)

Invariant Subspaces of Nilpotent Operators. Level, Mean, and Colevel: The Triangle $T (n)$