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von Neumann regularity of 𝑉-rings with Artinian primitive factor rings
Giuseppe Baccella
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Source: Crossref
Published: Jul 1, 1988
DOI: 10.1090/s0002-9939-1988-0947650-6
Open original source ↗Source abstract
Let R R be a ring whose right primitive factor rings are artinian. It is a known result that if R R is von Neumann regular, then R R is a right V V -ring, that is, all simple right R R -modules are injective. In the present work we prove that the converse holds.
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