| 交换半环上广义矩阵代数的Jordan导子 |
| |
| 引用本文： | 庄金洪,陈艳平,谭宜家.交换半环上广义矩阵代数的Jordan导子[J].福州大学学报(自然科学版),2021,49(2):149-155. |
| |
| 作者姓名： | 庄金洪 陈艳平 谭宜家 |
| |
| 作者单位： | 福建商学院信息工程学院,福建商学院信息工程学院,福州大学数学与计算机科学学院 |
| |
| 基金项目： | 国家自然科学基金项目（面上项目，重点项目，重大项目） |
| |
| 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.
|
| 关 键 词： | 交换半环，广义矩阵代数，Jordan导子，导子，反导子 |
| 收稿时间： | 2020/8/6 0:00:00 |
| 修稿时间： | 2020/10/10 0:00:00 |
Jordan derivations of generalized matrix algebras over a commutative semiring |
| |
| ZHUANG Jinhong,CHEN Yanping,TAN Yijia.Jordan derivations of generalized matrix algebras over a commutative semiring[J].Journal of Fuzhou University(Natural Science Edition),2021,49(2):149-155. |
| |
| Authors: | ZHUANG Jinhong CHEN Yanping TAN Yijia |
| |
| Institution: | College of Information Engineering , Fujian Business University,College of Information Engineering , Fujian Business University,College of Mathematics and Computer Science, Fuzhou University |
| |
| Abstract: | 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. |
| |
| Keywords: | commutative semiring generalized matrix algebra Jordan derivation derivation antiderivation |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《福州大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《福州大学学报(自然科学版)》下载免费的PDF全文 |
