Chen, Bo (2012). The Gabriel-Roiter Measure for (A)over-tilde(n) II. Algebr. Represent. Theory, 15 (5). S. 901 - 921. DORDRECHT: SPRINGER. ISSN 1386-923X
Full text not available from this repository.Abstract
Let Q be a tame quiver of type and Rep(Q) the category of finite dimensional representations over an algebraically closed field. A representation is simply called a module. It will be shown that a regular string module has, up to isomorphism, at most two Gabriel-Roiter submodules. The quivers Q with sink-source orientations will be characterized as those, whose central parts do not contain preinjective modules. It will also be shown that there are only finitely many (central) Gabriel-Roiter measures admitting no direct predecessors. This fact will be generalized for all tame quivers.
Item Type: | Journal Article | ||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-481811 | ||||||||
DOI: | 10.1007/s10468-011-9272-8 | ||||||||
Journal or Publication Title: | Algebr. Represent. Theory | ||||||||
Volume: | 15 | ||||||||
Number: | 5 | ||||||||
Page Range: | S. 901 - 921 | ||||||||
Date: | 2012 | ||||||||
Publisher: | SPRINGER | ||||||||
Place of Publication: | DORDRECHT | ||||||||
ISSN: | 1386-923X | ||||||||
Language: | English | ||||||||
Faculty: | Unspecified | ||||||||
Divisions: | Unspecified | ||||||||
Subjects: | no entry | ||||||||
Uncontrolled Keywords: |
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URI: | http://kups.ub.uni-koeln.de/id/eprint/48181 |
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