Rigid integral representations of quivers over arbitrary commutative rings
Crawley-Boevey, William1
1 Fakultät für Mathematik, Universität Bielefeld Postfach 100131 33501 Bielefeld Germany
Annals of Representation Theory, Volume 1 (2024) no. 3, pp. 375-384.

In earlier work, the author classified rigid representations of a quiver by finitely generated free modules over a principal ideal ring. Here we extend the results to representations of a quiver by finitely generated projective modules over an arbitrary commutative ring.

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Accepted:
Published online:
DOI: 10.5802/art.15
Classification: 16G20, 16G30, 16H20, 13C10
Keywords: Quiver representations, Rigid representations, Lattices over orders
Crawley-Boevey, William 1

1 Fakultät für Mathematik, Universität Bielefeld Postfach 100131 33501 Bielefeld Germany
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Crawley-Boevey, William. Rigid integral representations of quivers over arbitrary commutative rings. Annals of Representation Theory, Volume 1 (2024) no. 3, pp. 375-384. doi : 10.5802/art.15. https://art.centre-mersenne.org/articles/10.5802/art.15/

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