交换半环上广义矩阵代数的Jordan导子  

Jordan derivations of generalized matrix algebras over a commutative semiring

作　　者：庄金洪 陈艳平 谭宜家[2] ZHUANG Jinhong;CHEN Yanping;TAN Yijia(College of Information Engineering,Fujian Business University,Fuzhou,Fujian 350012,China;College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350108,China)

机构地区：[1]福建商学院信息工程学院,福建福州350012 [2]福州大学数学与计算机科学学院,福建福州350108

出　　处：《福州大学学报（自然科学版）》2021年第2期149-155,共7页Journal of Fuzhou University(Natural Science Edition)

基　　金：国家自然科学基金面上资助项目(11971111);福建省自然科学基金资助项目(2020J01321);福建省教育厅中青年教师教育科研项目(JAT190501)。

摘　　要：研究交换半环上加法可消的广义矩阵代数的Jordan导子、导子和反导子,给岀了广义矩阵代数的Jordan导子、导子和反导子的刻画,进而证明了在某些条件下广义矩阵代数的每一个Jordan导子都可表示为一个导子和一个反导子之和.In this paper,the Jordan derivations,the derivations and the antiderivations on addition cancellable generalized matrix algebras over a commutative semiring are studied,and the characterizatics of Jordan derivations,derivations and antiderivations are presented.Furthermore,it is proved that every Jordan derivations on a generalized matrix algebra can be expressed as the sum of a derivation and an antiderivation under certain conditions.

关 键 词：半环 广义矩阵代数 导子 JORDAN导子 反导子 

分 类 号：O151.2[理学—数学]