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All rings »如何用伋理ip软件修改上网IP地址-迅速:2021-8-31 · 如何用伋理ip软件修改上网IP地址？有时候我伊会遇到一些需要用别的地方的ip地址去访问不同的网站，怎么去修改伋理自己电脑和手机的网络IP地址，IP地址是每个联网设备的IP，根据这个IP可伍进行网络数据传输，实现上网功能，有些业务及工作需要，要改变下自己的IP地址。

All properties »用兔子IP实现不同虚机模拟器不同IP玩转抖音养号推广方法 ...:2021-6-3 · 用兔子IP实现不同虚机模拟器不同IP玩转抖音养号推广方法 日期：2021-06-03 来源： www.tuziip.com 作者：tuziip 浏览： 7 评论：0 核心提示：用兔子IP实现不同虚机模拟器不同IP玩转抖音养号推广方法用换ip软件玩转抖音短视频?短视频营销已经成为营销的新宠，所伍很多商家

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new rings: Three additions

Recently added three new rings to fill gaps. The reasons they were added are in their names: one, two, three.

new ring: Right-not-left free ideal ring

JeremyRickard suggested an example of a right free ideal ring that does not satisfy the ACC on left principal ideals.

new ring: the Toeplitz-Jacobson algebra

Thanks dbossaller for the excellent example of a ring which has IBN but is not Dedekind finite.

New ring: Cozzens' simple left PID

This example due to Cozzens is often cited as showing how much asymmetry is possible in simple rings.

new theorem: Did you know...

Commutative von Neumann regular rings are characterized by the fact that their polynomial ring over a single variable is semihereditary? That is the content of this theorem of Camillo.

new ring: Almost-but-not-quite-Dedekind

Added an example of an almost Dedekind ring which isn't Dedekind. In particular it has Krull dimension 1, all of its localizations are Noetherian, but it itself is not Noetherian.

New ring: asymmetry of PF

This is a ring which is one-sided pseudo-Frobenius. The construction is involved, and not complete yet. Also, if you had any trouble visiting the theorems section recently, please try again. I fixed a bug there.

new ring: Asymmetry of principally injective

This is an example of a ring which is one-sided principally injective.

New rings: V domains

Added this ring and this ring, examples of simple right V domains, which I hear are pretty rare.

Site news: Ring maps

I posted a few graphs of implications between ring properties. This is the first time I've regenerated the graphs in a long time, so there are probably problems. Please let me know if you find any. Thanks!

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