국가지식-학술정보
ON THE TRANSFINITE POWERS OF THE JACOBSON RADICAL OF A DICC RING
ON THE TRANSFINITE POWERS OF THE JACOBSON RADICAL OF A DICC RING
- 대한수학회
- Journal of the Korean Mathematical Society
- Vol.38 No.6
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2001.011117 - 1123 (7 pages)
- 0
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A ring is a DICC ring if every chain of right ideals in-dexed by the integers stabilizes to the left or to the right or to both sides. A counterexample is given to an assertion of karamzadeh and Motamedi that a transfinite power of the Jacobson radical of a right DICC ring is zero. we determine the behavior of the transfinite powers of the Jacobson radical relative to a torsion theory and consequently can obtain their correct behavior in the classical setting.
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