Dimple Rani Goyal

collaborators

2 papers

math.RA2026

Rings in which one-sided strongly $I ¨ $ -regular elements are strongly $I ¨ $ -regular

Dimple Rani Goyal, Dinesh Khurana

In 1977, Hartwig and Luh asked if $a$ is an element of a Dedekind-finite ring $S$ , then does $a S = a^{2} S$ imply $S a = S a^{2}$ . This question was answered negatively by Dittmer, Khuran…

math.RA2025

A Note on Strongly $I ¨ $ -Regular Elements

Dimple Rani Goyal

In this article, we prove that in a PI-ring (or polynomial identity ring) $S$ , for an element $A \in M_{m} (S)$ if $A^{n} = A^{n + 1} X$ for some $n \in N$ and $X \in \mat…

Rings in which one-sided strongly I¨-regular elements are strongly I¨-regular

A Note on Strongly I¨-Regular Elements

Rings in which one-sided strongly $I ¨ $ -regular elements are strongly $I ¨ $ -regular

A Note on Strongly $I ¨ $ -Regular Elements