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A note on p-injectivity

Yue Chi Ming R.

Demonstratio Mathematica

2004

Vol. 37, nr 1

45--54

This note contains results related to p-injectivity and YJ-injectivity. Conditions are given for rings to be (i) V-rings; (ii) VNR; (iii) self-injective regular or strongly regular. A characterization of principal ideal quasi-Frobenius rings is given in terms of p-injectivity. A condition is given for a fully right idempotent ring to have a von Neumann regular classical left quotient ring. It is also proved that if A is a fully right idempotent, right Goldie ring, then every two-sided ideal of A is generated by a central idempotent.