吉林大学学报(理学版)
• 数学 • 下一篇
李凌跃, 徐晓伟
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LI Lingyue, XU Xiaowei
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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 multihomomorphisms, multihomomorphisms and Boolean homomorphism. Using Boolean homomorphisms, we described the structures of Jordan multihomomorphisms on associative rings with identity, and then showed that a Jordan multihomomorphism 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, multihomomorphism, Jordan Boolean homomorphism, Boolean homomorphism
中图分类号:
李凌跃, 徐晓伟. 结合环上的Jordan多重同态[J]. 吉林大学学报(理学版), 2014, 52(06): 1105-1111.
LI Lingyue, XU Xiaowei. Jordan Multihomomorphisms on Associative Rings[J]. Journal of Jilin University Science Edition, 2014, 52(06): 1105-1111.
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链接本文: http://xuebao.jlu.edu.cn/lxb/CN/
http://xuebao.jlu.edu.cn/lxb/CN/Y2014/V52/I06/1105
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