INJECTIVE REPRESENTATIONS OF QUIVERS

Title & Authors
INJECTIVE REPRESENTATIONS OF QUIVERS
Park, Sang-Won; Shin, De-Ra;

Abstract
We prove that $\small{M_1\longrightarrow^f\;M_2}$ is an injective representation of a quiver $Q Keywords module;quiver;representation of quiver;injective representation of quiver; Language English Cited by 1. PROJECTIVE PROPERTIES OF REPRESENTATIONS OF A QUIVER OF THE FORM$Q={\bullet}\,^{\rightarrow}_{\rightarrow}\,{\bullet}{\rightarrow}{\bullet}$,;; Korean Journal of Mathematics, 2009. vol.17. 4, pp.429-436 2. PROJECTIVE AND INJECTIVE PROPERTIES OF REPRESENTATIONS OF A QUIVER$Q ={\bullet}{\rightarrow}{\bullet}{\rightarrow}{\bullet}\$,;;

Korean Journal of Mathematics, 2009. vol.17. 3, pp.271-281
3.
PROJECTIVE PROPERTIES OF REPRESENTATIONS OF A QUIVER Q = • → • AS R[x]-MODULES,;;;

Korean Journal of Mathematics, 2010. vol.18. 3, pp.243-252
1.
PROJECTIVE REPRESENTATIONS OF A QUIVER WITH THREE VERTICES AND TWO EDGES AS R[x]-MODULES, Korean Journal of Mathematics, 2012, 20, 3, 343
References
1.
E. Enochs, I. Herzog, and S. Park, Cyclic quiver ring and polycyclic-by-finite groupring, Houston J. Math. 25 (1999), no. 1, 1-13

2.
E. Enochs and I. Herzog, A homotopy of quiver morphism with applications to representations, Canad. J. Math. 51 (1999), no. 2, 294-308

3.
E. Enochs, J. R. Rozas, L. Oyonarte, and S. Park, Noetherian quivers, Quaestiones Mathematicae 25 (2002), no. 4, 531-538

4.
S. Park, Projective representations of quivers, Internart. J. Math. Math. Sci. 31 (2002), no. 2, 97-101