Projective representations of quivers
We prove that P1 →f P2 is a projective representation of a quiver Q=•→• if and only if P1 and P2 are projective left R-modules, f is an injection, and f (P 1)⊂P 2 is a summand. Then, we generalize the result so that a representation M1 →f1 M2 →f2⋯→fn−2 Mn−1→fn−1 Mn of a quive...
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| Format: | Article |
| Language: | English |
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Hindawi Limited
2002-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171202108192 |