A note on lower nil M-Armendariz rings
Rings and Algebras
2018-05-09 v3
Abstract
In this article, we prove some results for lower nil M-Armendariz ring. Let M be a strictly totally ordered monoid and I be a semicommutative ideal of R. If R/I is a lower nil M-Armendariz ring, then R is lower nil M-Armendariz. Similarly, for above M, if I is 2-primal with N_{*}(R) subset of I and R/I is M-Armendariz, then R is a lower nil M-Armendariz ring. Further, we observe that if M is a monoid and N a u.p.-monoid where R is a 2-primal M-Armendariz ring, then R[N] is a lower nil M-Armendariz ring.
Keywords
Cite
@article{arxiv.1611.04163,
title = {A note on lower nil M-Armendariz rings},
author = {Sushma Singh and Om Prakash},
journal= {arXiv preprint arXiv:1611.04163},
year = {2018}
}
Comments
This manuscript has 16 pages and later we will communicate to the journals for possible publication