| 交换环上上三角矩阵代数在全矩阵代数中的扩代数及其若当导子 |
| |
| 引用本文： | 赵延霞,姚瑞平,王登银. 交换环上上三角矩阵代数在全矩阵代数中的扩代数及其若当导子[J]. 系统科学与数学, 2008, 28(12): 1502-1508 |
| |
| 作者姓名： | 赵延霞 姚瑞平 王登银 |
| |
| 作者单位： | 中国矿业大学数学系,徐州,221008 |
| |
| 摘 要： | 设R是任意含么交换环,2是R的可逆元.M(n,R)表示R上所有n×n级矩阵形成的代数,T(n,R)表示R上所有n×n级上三角矩阵形成的代数.决定了T(n,R)在M(n,R)中的扩代数,并具体刻画了这些扩代数的若当导子.
|
| 关 键 词： | 交换环 扩代数 若当导子 |
| 收稿时间： | 2006-09-28 |
| 修稿时间： | 2007-05-14 |
Over-Algebras of Upper Triangular Matrix Algebras and theirJordan Derivations over Commutative Rings |
| |
| ZHAO Yanxia,YAO Ruiping,WANG Dengyin. Over-Algebras of Upper Triangular Matrix Algebras and theirJordan Derivations over Commutative Rings[J]. Journal of Systems Science and Mathematical Sciences, 2008, 28(12): 1502-1508 |
| |
| Authors: | ZHAO Yanxia YAO Ruiping WANG Dengyin |
| |
| Affiliation: | Department of Mathematics, China University of Mining and Technology, Xuzhou 221008 |
| |
| Abstract: | Let R be an arbitrary commutative ring with identity,and 2 be invertible in R.Let M(n,R) (resp.,T(n,R)) be the R-algebra consisting of all n x n matrices (resp.,upper triangular matrices) over R.In this paper,we first determine all the over-algebras of T(n,R) in M(n,R),then for any given over-algebra of T(n,R) in M(n,R),we give the explicit description on its Jordan derivations. |
| |
| Keywords: | Commutative rings over-algebras Jordan derivations. |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《系统科学与数学》浏览原始摘要信息 |
|
点击此处可从《系统科学与数学》下载全文 |
|
