MATRICES OVER A REDUCED RING AS SUMS OF THREE TRIPOTENTSOACSTPCD
In this paper,we study reduced rings in which every element is a sum of three tripotents that commute,and determine the integral domains over which every n£n matrix is a sum of three tripotents.It is proved that for an integral domain R,every matrix in M_(n)(R)is a sum of three tripotents if and only if R■Zp with p=2,3,5 or 7.
HUANG Tao;CUI Jian;ZENG Yue-di;
School of Mathematics and Statistics,Anhui Normal University,Wuhu 241002,ChinaSchool of Mathematics and Statistics,Anhui Normal University,Wuhu 241002,China Key Laboratory of Financial Mathematics(Putian University),Fujian Province University,Putian 351100,ChinaKey Laboratory of Financial Mathematics(Putian University),Fujian Province University,Putian 351100,China
数学
Tripotentcompanion matrixreduced ringmatrix ring
《数学杂志》 2024 (005)
P.406-412 / 7
Supported by Key Laboratory of Financial Mathematics of Fujian Province University(Putian University)(JR202203);the NSF of Anhui Province(2008085MA06).
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