Publication Date:
2003-01-01
Description:
Rooted quivers are quivers that do not containA∞≡⋯→•→•as a subquiver. The existence of flat covers and cotorsion envelopes for representations of these quivers have been studied by Enochs et al. The main goal of this paper is to prove that flat covers and cotorsion envelopes exist for representations ofA∞. We first characterize finitely generated projective representations ofA∞. We also see that there are no projective covers for representations ofA∞, which adds more interest to the problem of the existence of flat covers.
Print ISSN:
0161-1712
Electronic ISSN:
1687-0425
Topics:
Mathematics
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