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.
© 2001-2024 Fundación Dialnet · Todos los derechos reservados