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| Home > Articles > Published articles > Addendum to "Rings whose modules have maximal submodules" |
| Date: | 1998 |
| Abstract: | 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. |
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| Language: | Anglès |
| Document: | Article ; recerca ; Versió publicada |
| Published in: | Publicacions matemàtiques, V. 42 n. 1 (1998) p. 265-266, ISSN 2014-4350 |
