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Rigid and Schurian modules over cluster-...

Marsh, Bethany...

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Rigid and Schurian modules over cluster-tilted algebras of tame type by Marsh, Bethany ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	01-01-2015
Summary	We give an example of a cluster-tilted algebra A with quiver Q, such that the associated cluster algebra has a denominator vector which is not the dimension vector of any indecomposable A-module. This answers a question posed by T. Nakanishi. The relevant example is a cluster-tilted algebra associated with a tame hereditary algebra. We show that for such a cluster-tilted algebra A, we can write any denominator vector as a sum of the dimension vectors of at most three indecomposable rigid A-modules. In order to do this it is necessary, and of independent interest, to first classify the indecomposable rigid A-modules in this case.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1412.6405

Citation

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AMA 11th EditionReferences

Marsh, Bethany. Rigid and Schurian modules over cluster-tilted algebras of tame type. N.A. January 01, 2015. Accessed October 02, 2025. https://online.provdatabase.com/cite/18229

APA 7th EditionReferences

Marsh, Bethany. (2015). Rigid and Schurian modules over cluster-tilted algebras of tame type. N.A. https://online.provdatabase.com/cite/18229

Chicago 17th EditionReferences

Marsh, Bethany. Rigid and Schurian modules over cluster-tilted algebras of tame type. N.A. 2015. https://online.provdatabase.com/cite/18229

HarvardReferences

Marsh, Bethany. (2015). Rigid and Schurian modules over cluster-tilted algebras of tame type. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18229. (Accessed 02 October 2025).

Harvard AustraliaReferences

Marsh, Bethany, 2015, Rigid and Schurian modules over cluster-tilted algebras of tame type, N.A, viewed 02 October 2025, <https://online.provdatabase.com/cite/18229>

MLA 9th EditionWorks Cited

Marsh, Bethany. Rigid and Schurian modules over cluster-tilted algebras of tame type. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18229.

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