Rigid integral representations of quivers over arbitrary commutative rings

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.

Authors

Publication Details

Journal
Annals of representation theory
Published
2024-10-03
DOI
https://doi.org/10.5802/art.15
Citations
1
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
1.01
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article

Rigid integral representations of quivers over arbitrary commutative rings

William Crawley-Boevey
1 citations
Annals of representation theory
Algebraic structures and combinatorial models
1.01
article

Rigid integral representations of quivers over arbitrary commutative rings

William Crawley-Boevey
article en
1 citations

Abstract

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.

Annals of representation theoryVol. 1(3)
Openalex Percentile: Top 24%
Algebraic structures and combinatorial models
1.01
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Rigid integral representations of quivers over arbitrary commutative rings — William Crawley-Boevey · Annals of representation theory (2024) | TGRS Research Map | TGRS