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 The $U$-projective resolution of modules over path algebras of types $A_n$ and $\tilde{A}_n$ Commun. Korean Math. Soc. 2019 Vol. 34, No. 3, 701-718 https://doi.org/10.4134/CKMS.c180226Published online July 31, 2019 Karin Baur, Yudi Mahatma, Intan Muchtadi-Alamsyah Institut f\"{u}r Mathematik und Wissenschaftliches Rechnen Universit\"{a}t Graz, Jalan Ganesha 10; Jalan Ganesha 10 Abstract : In this paper we compute the $U$-projective resolution of $kQ$-modules where $Q$ is quiver of type $A_n$ and $\tilde{A}_n$. The behavior of the sequence can be seen through its geometric representation. Keywords : projective resolution, module, path algebra, quiver MSC numbers : 16G06, 13D06, 13C10 Downloads: Full-text PDF   Full-text HTML