info prev up next book cdrom email home

Regular Ring

In the sense of von Neumann, a regular ring is a Ring $R$ such that for all $a\in R$, there exists a $b\in R$ satisfying $a=aba$.

See also Regular Local Ring, Ring


Jacobson, N. Basic Algebra II, 2nd ed. New York: W. H. Freeman, p. 196, 1989.

© 1996-9 Eric W. Weisstein