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In algebra, a semiprimitive ring or Jacobson semisimple ring or J-semisimple ring is a ring whose Jacobson radical is zero. This is a type of ring more general than a semisimple ring, but where simple modules still provide enough information about the ring. Rings such as the ring of integers are semiprimitive, and an artinian semiprimitive ring is just a…
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ring semiprimitive semisimple rings jacobson product subdirect primitive artinian lam simple algebra zero integers left 1995 radical infinite faithful fields
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| the ring of integers are semiprimitive | instance of | Rings | 0.80 | text |
| and an artinian semiprimitive ring is just a semisimple ring | instance of | Rings | 0.80 | text |
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