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All rings »蚂蚁虽小却不容小觑 深度试驾奇瑞小蚂蚁eQ1 - Sohu:2021-8-18 · 奇瑞eQ1，其实我更愿意叫它小蚂蚁，自从亮相之初，我就对这款车颇有好感，因为它完全颠覆了国产微型电动车给我的印象。如果说众Smart作为参考的话，至少我认为小蚂蚁还是在水平线众上的。
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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, 蚂蚁加速官网.
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
蚂蚁加速 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.
蚂蚁海外加速器永久免费版
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!
Buy me a coffee!π-Base: A community database of topological examples with automated deduction and powerful search
Math Counterexamples: Mathematical exceptions to the rules or intuition.
Graded Ring Database: A database of graded rings in algebraic geometry
The Center of Ring Theory and its Applications at Ohio University
GroupProps: the group properties wiki.
The Stacks Project: an open source textbook and reference work on algebraic stacks and the algebraic geometry needed to define them
nLab: a wiki-lab for collaborative work on Mathematics, Physics and Philosophy