nLab von Neumann regular ring

Not to be confused with regular local rings in commutative algebra.

Contents

Idea

A von Neumann regular ring is a ring RR (not necessarily commutative) such that for every element rRr \in R there exists r˜R\tilde r \in R satisfying

r=rr˜r. r \;=\; r \, \tilde r \, r \,.

References

Created on June 22, 2024 at 09:59:00. See the history of this page for a list of all contributions to it.