Further study of rings in which essential maximal right ideals are GP-injective. (English) Zbl 07843614
Summary: In this paper, rings in which essential maximal right ideals are GP-injective are studied. Whether the rings with this condition satisfy von Neumann regularity is the goal of this study. The obtained research results are twofold:
First, it was shown that this regularity holds even when the reduced ring is replaced with \(\pi\)-IFP and NI-ring. Second, it was shown that this regularity also holds even when the maximal right ideal is changed to GW-ideal.
This can be interpreted as an extension of the existing results.
First, it was shown that this regularity holds even when the reduced ring is replaced with \(\pi\)-IFP and NI-ring. Second, it was shown that this regularity also holds even when the maximal right ideal is changed to GW-ideal.
This can be interpreted as an extension of the existing results.
MSC:
| 16D50 | Injective modules, self-injective associative rings |
| 16E50 | von Neumann regular rings and generalizations (associative algebraic aspects) |
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