Nil-Noetherian rings

X Zhang - arXiv preprint arXiv:2205.11724, 2022 - arxiv.org
In this paper, we say a ring $ R $ is Nil $ _ {\ast} $-Noetherian provided that any nil ideal is
finitely generated. First, we show that the Hilbert basis theorem holds for Nil $ _ {\ast} …

Nil-Noetherian rings

X Zhang - arXiv e-prints, 2022 - ui.adsabs.harvard.edu
In this paper, we say a ring $ R $ is Nil $ _ {\ast} $-Noetherian provided that any nil ideal is
finitely generated. First, we show that the Hilbert basis theorem holds for Nil $ _ {\ast} …