摘要
A ring is said to satisfy the strong 2-sum property if every element is a sum of two commuting units.In this note,we present some sufficient or necessary conditions for the matrix ring over a commutative local ring to have the strong 2-sum property.
基金
This research was supported by the Natural Science Foundation of China(grants 11661014,11661013,11961050)
the Guangxi Natural Science Foundation(grant no.2016GXNSFDA380017)
a Discovery Grant from NSERC of Canada(grant no.RGPIN-2016-04706).
