Year: 2024
Type: article
Abstract: It is not known whether or not every non-zero one-sided nil ideal of a noncommutative ring is contained in the upper nilradical of the ring. Here we give necessary and sufficient conditions under which a non-zero one-sided nil ideal of a noncommutative ring is not contained in the upper nilradical of the ring.
Source: Serdica Mathematical Journal
Author: Santosh Kumar Pandey
Institution: Sardar Patel University
Language: English
Topic: Rings, Modules, and Algebras
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4405719703