| 11. | Spinor spaces were represented as left ideals of a matrix algebra in 1930, by minimal left ideal in.
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| 12. | Spinor spaces were represented as left ideals of a matrix algebra in 1930, by minimal left ideal in.
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| 13. | A ring in which there is no strictly decreasing infinite chain of left ideals is called a left Artinian ring.
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| 14. | A ring is left Noetherian if and only if all its left ideals are finitely generated; analogously for right Noetherian rings.
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| 15. | For example, a ring in which there is no strictly increasing infinite chain of left ideals is called a left Noetherian ring.
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| 16. | By 1981, the couple had left Ideal because they did not want to follow the company when it relocated to New Jersey.
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| 17. | 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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| 18. | Now, though Bush is a Republican, he is using words saturated with historic left ideals to win the confidence of many Americans.
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| 19. | 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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| 20. | The left ideals in " R " are exactly the right ideals in the opposite ring " R " o and vice versa.
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