Revistes Catalanes amb Accés Obert (RACO)

On nonsingular $P$-injective rings

Y. Hirano


A ring $R$ is said to be left $p$-injective if, for any principal left ideal $I$ of $R$, any left $R$-homomorphism $I$ into $R$ extends to one of $R$ into itself. In this note left nonsingular left $p$-injective rings are characterized using their maximal left rings of quotients and the structure of semiprime left $p$-injective rings of bounded index is investigated.

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