On nonsingular P-injective rings

Autores: Yasuyuki Hirano
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 38, Nº 2, 1994, págs. 455-461
Idioma: inglés
DOI: 10.5565/publmat_38294_14
Títulos paralelos:
- Anillos p-inyectivos no singulares
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Resumen
- 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.