Английская Википедия:Dedekind-finite ring

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Шаблон:Short description In mathematics, a ring is said to be a Dedekind-finite ring if ab = 1 implies ba = 1 for any two ring elements a and b. In other words, all one-sided inverses in the ring are two-sided.

These rings have also been called directly finite rings[1] and von Neumann finite rings.[2]

Properties

References

Шаблон:Reflist

See also


Шаблон:Abstract-algebra-stub