J-regular rings with injectivities

Preprint English OPEN
Shen, Liang;
(2010)
  • Subject: Mathematics - Rings and Algebras

A ring $R$ is called a J-regular ring if R/J(R) is von Neumann regular, where J(R) is the Jacobson radical of R. It is proved that if R is J-regular, then (i) R is right n-injective if and only if every homomorphism from an $n$-generated small right ideal of $R$ to $R_{... View more
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