A. Ansari

collaborators

3 papers

math.AC2026

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 $N i l_{*}$ -Noetherian rings. We investigate several…

math.AC2025

On S-J-Noetherian Rings

Tushar Singh, Ajim Uddin Ansari, Shiv Datt Kumar

Let $R$ be a commutative ring with identity, $S \subseteq R$ be a multiplicative set and $J$ be an ideal of $R$ . In this paper, we introduce the concept of $S$ - $J$ -Noetherian rings,…

math.AC2025

A Study of S-Primary Decompositions

Tushar Singh, Ajim Uddin Ansari, Shiv Datt Kumar

Let $R$ be a commutative ring with identity and $S \subseteq R$ be a multiplicative set. An ideal $Q$ of $R$ (disjoint from $S$ ) is said to be $S$ -primary if there exists an $s\in…