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