TY  - THES
AB  - 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.
DA  - 2008
KW  - Köcher (Mathematik)
KW  - Darstellungstheorie
KW  - Nichtkommutative Algebra
KW  - Assoziative Algebra
KW  - Modul
KW  - Fibonacci-Folge
KW  - Quiver
KW  - Gabriel-Roiter measure
KW  - Coefficient quiver
KW  - 3-Regular tree
KW  - Extended Kronecker quiver
KW  - Fibonacci numbers
LA  - eng
PY  - 2008
TI  - Infinite Gabriel-Roiter measures for the 3-Kronecker quiver
UR  - https://nbn-resolving.org/urn:nbn:de:hbz:361-12949
Y2  - 2024-11-22T07:51:16
ER  -