1. CMB 2005 (vol 48 pp. 317)
|On Pseudo-Frobenius Rings |
It is proved here that a ring $R$ is right pseudo-Frobenius if and only if $R $ is a right Kasch ring such that the second right singular ideal is injective.
2. CMB 1997 (vol 40 pp. 221)
|On semiregular rings whose finitely generated modules embed in free modules |
We consider rings as in the title and find the precise obstacle for them not to be Quasi-Frobenius, thus shedding new light on an old open question in Ring Theory. We also find several partial affirmative answers for that question.
Categories:16D10, 16L60, 16N20