@article {
author = {Zahiri, M. and Moussavi, A. and Mohammadi, R.},
title = {On annihilator ideals in skew polynomial rings},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {43},
number = {5},
pages = {1017-1036},
year = {2017},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {This article examines annihilators in the skew polynomial ring $R[x;alpha,delta]$. A ring is strongly right $AB$ if everynon-zero right annihilator is bounded. In this paper, we introduce and investigate a particular class of McCoy rings which satisfy Property ($A$) and the conditions asked by P.P. Nielsen. We assume that $R$ is an ($alpha$,$delta$)-compatible ring, and prove that, if $R$ is nil-reversible then the skew polynomial ring $R[x;alpha,delta]$is strongly right $AB$. It is also shown that, every right duo ring with an automorphism $alpha$ is skew McCoy. Moreover, if $R$ is strongly right $AB$ and skew McCoy, then $R[x;alpha]$ and $R[x;delta]$ have right Property ($A$).},
keywords = {McCoy ring,strongly right $AB$ ring,nil-reversible ring,rings with Property$(A)$},
url = {http://bims.iranjournals.ir/article_977.html},
eprint = {http://bims.iranjournals.ir/article_977_1616b5a37d6d745579be166ecbf55aa5.pdf}
}