### Some articles on *von neumann regular, regular, von neumann*:

**Von Neumann Regular**Radical

... A

**von Neumann regular**ring is a ring A (possibly non-commutative without identity) such that for every a there is some b with a = aba ... The

**von Neumann regular**rings form a radical class ...

**Von Neumann Regular**Rings

... Recall that if R is

**von Neumann regular**, then V(R) is a refinement monoid ... We denote by L(R) the lattice of all principal right ideals of a

**von Neumann regular**ring R ... Let R be a

**von Neumann regular**ring ...

**Von Neumann Regular**Ring

... In mathematics, a

**von Neumann regular**ring is a ring R such that for every a in R there exists an x in R such that a = axa ... To avoid the possible confusion with the

**regular**rings and

**regular**local rings of commutative algebra (which are unrelated notions),

**von Neumann regular**rings are also called absolutely flat rings, because ...

**Von Neumann regular**rings were introduced by

**von Neumann**(1936) under the name of "

**regular**rings", during his study of

**von Neumann**algebras and continuous geometry ...

### Famous quotes containing the words regular, von and/or neumann:

“My attitude toward punctuation is that it ought to be as conventional as possible. The game of golf would lose a good deal if croquet mallets and billiard cues were allowed on the putting green. You ought to be able to show that you can do it a good deal better than anyone else with the *regular* tools before you have a license to bring in your own improvements.”

—Ernest Hemingway (1899–1961)

“The true, prescriptive artist strives after artistic truth; the lawless artist, following blind instinct, after an appearance of naturalness. The one leads to the highest peaks of art, the other to its lowest depths.”

—Johann Wolfgang *Von* Goethe (1749–1832)

“What a lesson here for our world. One blast, thousands of years of civilization wiped out.”

—Kurt *Neumann* (1906–1958)