1. CMB Online first
|Jacobson Radicals of Skew Polynomial Rings of Derivation Type|
We provide necessary and sufficient conditions for a skew polynomial ring of derivation type to be semiprimitive, when the base ring has no nonzero nil ideals. This extends existing results on the Jacobson radical of skew polynomial rings of derivation type.
Keywords:skew polynomial rings, Jacobson radical, derivation
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