For an acyelic quiver Q and a finite-dimensional algebra A, we give a unified form of the indecomposable injective objects in the monomorphism category Mon(Q, A) and prove that Mon(Q, A) has enough injective objects.
基金The first author was supported by the National Natural Science Foundation of China (Grant No. 11501465) and the Fundamental Research Funds for the Central Universities (XDJK2015C041), the second author was supported by the National Natural Science Foundation of China (Grant Nos. 11271257, 11201377) and the Natural Science Foundation of Shanghai (13ZR1422500).
文摘For an acyelic quiver Q and a finite-dimensional algebra A, we give a unified form of the indecomposable injective objects in the monomorphism category Mon(Q, A) and prove that Mon(Q, A) has enough injective objects.