Infinite Gabriel-Roiter measures for the 3-Kronecker quiver

Fahr P (2008)
Bielefeld (Germany): Bielefeld University.

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Bielefeld Dissertation | English
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Ringel, Claus Michael
Abstract
In this thesis we will use indecomposable representations of the 3-Kronecker quiver to construct uncountably many infinite Gabriel-Roiter measures. Our aim is to classify all piling submodules of an indecomposable regular module. We will show that they are either unique of a certain length or there is a one-parameter family of such submodules. A possible largest Gabriel-Roiter measure in the central part is discussed.
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Fahr P. Infinite Gabriel-Roiter measures for the 3-Kronecker quiver. Bielefeld (Germany): Bielefeld University; 2008.
Fahr, P. (2008). Infinite Gabriel-Roiter measures for the 3-Kronecker quiver. Bielefeld (Germany): Bielefeld University.
Fahr, P. (2008). Infinite Gabriel-Roiter measures for the 3-Kronecker quiver. Bielefeld (Germany): Bielefeld University.
Fahr, P., 2008. Infinite Gabriel-Roiter measures for the 3-Kronecker quiver, Bielefeld (Germany): Bielefeld University.
P. Fahr, Infinite Gabriel-Roiter measures for the 3-Kronecker quiver, Bielefeld (Germany): Bielefeld University, 2008.
Fahr, P.: Infinite Gabriel-Roiter measures for the 3-Kronecker quiver. Bielefeld University, Bielefeld (Germany) (2008).
Fahr, Philipp. Infinite Gabriel-Roiter measures for the 3-Kronecker quiver. Bielefeld (Germany): Bielefeld University, 2008.
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