rschwiebert / dart_data

Data for the Database of Ring theory
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Generalizations of von Neumann regularity, I #96

Open dyunov opened 3 weeks ago

dyunov commented 3 weeks ago

1) from Huh, Kim, Lee, "Examples of strongly $\pi$-regular rings":

rschwiebert commented 3 weeks ago

@dyunov What's Dischinger's result you're referring to? (maybe you have it in a separate issue but we could use the reference here.) Is it a result that establishes symmetr of the π-regular condition?

dyunov commented 3 weeks ago

@rschwiebert Yes, exactly that (under the definition "chains of form $Ra \supset Ra^2 \supset Ra^3 \supset \ldots$ stabilize").

Edit. There's a confusion in terminology, some authors call it strongly $\pi$-regular and others just $\pi$-regular like Rowen. In DaRT it's strongly $\pi$-regular.