Nil-Essential Ideals
Rings and Algebras
2024-01-17 v1
Abstract
The class of nil-essential ideals is a generalisation of the class of essential ideals. Every nil-essential ideal of a reduced ring is essential. Therefore the intersection of all nil-essential ideals over a reduced ring is the socle of . In this note, we apply this generalisation to give a new criteria of semisimplicity in terms of nil-essentiality of ideals.
Cite
@article{arxiv.2401.08535,
title = {Nil-Essential Ideals},
author = {Raplang Nongsiej and Ardeline Mary Buhphang},
journal= {arXiv preprint arXiv:2401.08535},
year = {2024}
}
Comments
5 pages, this work needs to be completed