On Von Neumann Regular Rings
Canadian mathematical bulletin, Tome 17 (1974) no. 2, pp. 283-284
Voir la notice de l'article provenant de la source Cambridge University Press
Recently, in the Research Problems of Canadian Mathematical Bulletin, Vol. 14, No. 4, 1971, there appeared a problem which asks “Is a prime Von Neumann regular ring pimitive?” While we are not able to settle this question one way or the other, we prove that in a Von Neumann regular ring, there is a maximal annihilator right ideal if and only if there is a minimal right ideal.
On Von Neumann Regular Rings. Canadian mathematical bulletin, Tome 17 (1974) no. 2, pp. 283-284. doi: 10.4153/CMB-1974-055-1
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title = {On {Von} {Neumann} {Regular} {Rings}},
journal = {Canadian mathematical bulletin},
pages = {283--284},
year = {1974},
volume = {17},
number = {2},
doi = {10.4153/CMB-1974-055-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1974-055-1/}
}
[1] 1. Jacobson, N., Structure of rings, Amer. Math. Soc. Colloquim publication, Vol. 37 (1964). Google Scholar
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