@article {
author = {Ahmed, C. A. K. and Salim, R. T. M.},
title = {Ring endomorphisms with nil-shifting property},
journal = {Journal of Linear and Topological Algebra ( JLTA )},
volume = {08},
number = {03},
pages = {191-202},
year = {2019},
publisher = {Central Tehran Branch, Islamic Azad University},
issn = {2252-0201},
eissn = {2345-5934},
doi = {},
abstract = {Cohn called a ring $R$ is reversible if whenever $ab = 0,$ then $ba = 0$ for $a,b\in R.$ The reversible property is an important role in noncommutative ring theory. Recently, Abdul-Jabbar et al. studied the reversible ring property on nilpotent elements, introducing the concept of commutativity of nilpotent elements at zero (simply, a CNZ ring). In this paper, we extend the CNZ property of a ring as follows: Let $R$ be a ring and $\alpha$ an endomorphism of $R$, we say that $ R $ is right (resp., left) $\alpha$-nil-shifting ring if whenever $ a\alpha(b) = 0 $ (resp., $\alpha(a)b = 0$) for nilpotents $a,b$ in $R$, $ b\alpha(a) = 0 $ (resp., $ \alpha(b)a= 0) $. The characterization of $\alpha$-nil-shifting rings and their related properties are investigated.},
keywords = {CNZ ring,reversible ring,matrix ring,polynomial ring},
url = {http://jlta.iauctb.ac.ir/article_667309.html},
eprint = {http://jlta.iauctb.ac.ir/article_667309_333e6b058ddc943e5ac9a1a15ac412c3.pdf}
}