Resum: |
A ring R is right max if every nonzero right R-module has a maximal submodule. In [F1] the author stated several open problems regarding right max rings. Let E be the minimal injective cogenerator of mod-R, and let ¤ = End(ER) be its endomorphism ring. (1) If ¤ is right max, is R? (2) If R is right max, is ¤? Recently, Xue [X] answered (1) in the a±rmative, and (2) in the negative. He also appended several typos in [F1], which we list here for the convenience of the readers of Publicacions Matemµatiques. |