| 21. | If the EU stands by that decision, it will open itself to accusations of betraying human rights ideals.
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| 22. | These rings also have a unique maximal right ideal, and the left and the right unique maximal ideals coincide.
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| 23. | Generalized the Veblen Young theorem to continuous geometry, showing that a principal right ideals of a von Neumann regular ring.
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| 24. | In a unital ring, every ideal is modular since choosing " e " = 1 works for any right ideal.
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| 25. | Noether gave an example of a non-commutative Noetherian ring with a right ideal that is not an intersection of primary ideals.
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| 26. | A major difference between rings which are and are not commutative is the necessity to separately consider right ideals and left ideals.
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| 27. | The left ideals in " R " are exactly the right ideals in the opposite ring " R " o and vice versa.
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| 28. | In a commentary, Nhan Dan ( People ) said NATO and the United States actually have humiliated legitimate human-right ideals with inhumane acts.
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| 29. | Said another way, minimal right ideals are minimal elements of the poset of nonzero right ideals of " R " ordered by inclusion.
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| 30. | If these properties hold, then the unique maximal left ideal coincides with the unique maximal right ideal and with the ring's Jacobson radical.
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