| 1. | Concisely, it must belong to every maximal right ideal of the ring.
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| 2. | In the noncommutative case, the ring merely has no nonzero nilpotent right ideals.
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| 3. | Since all right ideals of a right fir are free, they are projective.
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| 4. | How cities implement human rights ideals varies from city to city.
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| 5. | The Sibiu Circle's advocacy of Lovinescu's program attested the rejection of far right ideals.
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| 6. | Replacing " right ideal " with " left ideal " yields an equivalent definition.
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| 7. | Principal right ideal rings are closed under finite direct products.
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| 8. | This move has been criticized as contrary to the states'rights ideals championed by Republicans.
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| 9. | This shows that even for domains principal left and principal right ideal rings are different.
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| 10. | Similar terms are also applied to right ideals and two-sided ideals generated by finite subsets.
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