A note on upper nilradicals and one-sided nil ideals
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.
Authors
- S K Pandey (ORCID: https://orcid.org/0000-0001-6280-6825)
Institutions
- Sardar Patel University (IN)
Publication Details
- Journal
- Serdica Mathematical Journal
- Published
- 2024-12-23
- DOI
- https://doi.org/10.55630/serdica.2024.50.319-322
- Citations
- 1
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 1.27