@article {
author = {Ashrafi, N. and Pouyan, N.},
title = {The unit sum number of Baer rings},
journal = {Bulletin of the Iranian Mathematical Society},
volume = {42},
number = {2},
pages = {427-434},
year = {2016},
publisher = {Iranian Mathematical Society (IMS)},
issn = {1017-060X},
eissn = {1735-8515},
doi = {},
abstract = {In this paper we prove that each element of any regular Baer ring is a sum of two units if no factor ring of $R$ is isomorphic to $Z_2$ and we characterize regular Baer rings with unit sum numbers $\omega$ and $\infty$. Then as an application, we discuss the unit sum number of some classes of group rings.},
keywords = {unit sum number,regular Baer ring,$\pi$-regular Baer ring,right perpetual ideal},
url = {http://bims.iranjournals.ir/article_769.html},
eprint = {http://bims.iranjournals.ir/article_769_b7f142c271337a1f63d0a503031cec1d.pdf}
}