吉林大学学报(理学版)

• 数学 •    下一篇

结合环上的Jordan多重同态

李凌跃, 徐晓伟   

  1. 吉林大学 数学学院, 长春 130012
  • 收稿日期:2014-03-14 出版日期:2014-11-26 发布日期:2014-12-11
  • 通讯作者: 徐晓伟 E-mail:xuxw@jlu.edu.cn

Jordan Multihomomorphisms on Associative Rings

LI Lingyue, XU Xiaowei   

  1. College of Mathematics, Jilin University, Changchun 130012, China
  • Received:2014-03-14 Online:2014-11-26 Published:2014-12-11
  • Contact: XU Xiaowei E-mail:xuxw@jlu.edu.cn

摘要:

通过引入Jordan多重同态、 多重同态和布尔同态的概念, 利用布尔同态给出有1结合环上Jordan多重同态的结构, 并讨论一些特殊环上布尔同态的一般形式. 结果表明, 有1结合环上Jordan多重同态即为多重同态.

关键词: Jordan多重同态, 多重同态, Jordan布尔同态, 布尔同态

Abstract:

We introduced the notions of Jordan multihomomorphisms, multihomomorphisms and Boolean homomorphism. Using Boolean homomorphisms, we described the structures of Jordan multihomomorphisms on associative rings with identity, and then showed that a Jordan multihomomorphism is a multi-homomorphism on associative rings with identity, and finally, gave general forms of Boolean homomorphisms on some special rings.

Key words: Jordan multi-homomorphism, multihomomorphism, Jordan Boolean homomorphism, Boolean homomorphism

中图分类号: 

  • O153.3