Notes on Rings with Strong 2-Sum Property  

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作  者:Yu Li Huadong Su Gaohua Tang Yiqiang Zhou 

机构地区:[1]School of Mathematics and Statistics,Guangxi Normal University Guilin,Guangxi 541004,China [2]School of Mathematics and Statistics,Southwest University Chongqing 400715,China [3]School of Mathematics and Statistics,Nanning Normal University Nanning 530001,China [4]School of Sciences,Beibu Gulf University,Qinzhou,Guangxi 535011,China [5]Department of Mathematics and Statistics Memorial University of Newfoundland,St.John's,Canada

出  处:《Algebra Colloquium》2020年第4期821-830,共10页代数集刊(英文版)

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).

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.

关 键 词:(strong)2-sum property involution property unit matrix ring local ring 

分 类 号:O15[理学—数学]

 

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