Universität zu Köln

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

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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:	Creators Email ORCID ORCID Put Code Chen, Bo UNSPECIFIED UNSPECIFIED UNSPECIFIED
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:	Keywords Language AUSLANDER-REITEN SEQUENCES; TAME HEREDITARY ALGEBRAS; ARTIN-ALGEBRAS; MODULES Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/48181