For faster navigation, this Iframe is preloading the Wikiwand page for 反交换律.

反交换律

维基百科,自由的百科全书

在数学中,反交换律(英语:Anticommutative property)是某些运算的特定属性。在满足反交换律的运算中,将前后两个参数交换位置,则会产生与交换前相反的结果。

例如,减法运算是一个满足反交换律的运算,因为它满足 ,例如

李代数也是一个满足反交换律的例子。

定义

在数学中,反交换律的定义如下:

是一个加法群, “*” 是定义在 上的二元运算

如果“*”满足以下条件:对于任意的 ,有 ,那么,我们说二元运算“*”满足反交换律。

例子

满足反交换律的数学运算举例如下:

参见

{{bottomLinkPreText}} {{bottomLinkText}}
反交换律
Listen to this article

This browser is not supported by Wikiwand :(
Wikiwand requires a browser with modern capabilities in order to provide you with the best reading experience.
Please download and use one of the following browsers:

This article was just edited, click to reload
This article has been deleted on Wikipedia (Why?)

Back to homepage

Please click Add in the dialog above
Please click Allow in the top-left corner,
then click Install Now in the dialog
Please click Open in the download dialog,
then click Install
Please click the "Downloads" icon in the Safari toolbar, open the first download in the list,
then click Install
{{::$root.activation.text}}

Install Wikiwand

Install on Chrome Install on Firefox
Don't forget to rate us

Tell your friends about Wikiwand!

Gmail Facebook Twitter Link

Enjoying Wikiwand?

Tell your friends and spread the love:
Share on Gmail Share on Facebook Share on Twitter Share on Buffer

Our magic isn't perfect

You can help our automatic cover photo selection by reporting an unsuitable photo.

This photo is visually disturbing This photo is not a good choice

Thank you for helping!


Your input will affect cover photo selection, along with input from other users.