Cohen, Levitzki, Hilbert Basis, and Lasker-Noether Theorems for Nil-S-Noetherian Rings

Aman Pandey, Ajim Uddin Ansari, Tushar Singh

In this paper, we introduce a new class of rings called Nil-$S$-Noetherian rings, which generalizes both $S$-Noetherian rings and $Ni{l}_{\ast }$-Noetherian rings. We investigate several…