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Regular self-injective rings and \(V\)-rings. (English. Russian original) Zbl 0841.16009
Algebra Logic 33, No. 5, 315-321 (1994); translation from Algebra Logika 33, No. 5, 564-575 (1994).
Summary: Regular, right self-injective rings are considered. We settle the question of when such a ring is a right \(V\)-ring, i.e., when each simple right module over the ring is injective. It is proved that a regular, right self-injective \(V\)-ring of the power of the continuum has bounded nilpotency index.

16E50 von Neumann regular rings and generalizations (associative algebraic aspects)
16D50 Injective modules, self-injective associative rings
Full Text: DOI EuDML
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