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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.

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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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Buy me a coffee!

greenvnp试用账号密码

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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.
$蚂蚁加速破解版$ 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