She concluded that when women are influenced by " right ideals, social, moral, artistic, intellectual, the higher becomes their standard of living ."
32.
Said another way, minimal right ideals are minimal elements of the poset of nonzero right ideals of " R " ordered by inclusion.
33.
Somewhat surprisingly, it is possible to prove that even in rings without identity, a modular right ideal is contained in a maximal right ideal.
34.
Somewhat surprisingly, it is possible to prove that even in rings without identity, a modular right ideal is contained in a maximal right ideal.
35.
Then R�H is a right ideal and coideal in H, and the quotient module V = H / R�H is a right H-module coalgebra.
36.
As noted before, a finitely generated right ideal can be generated by a single element, and so right uniserial rings are "'right B�zout "'rings.
37.
Governments in the area rarely live up to the human-rights ideals espoused by the United States and Europe, but they embrace Western-style capitalism with passion.
38.
The above definition is satisfied if " R " has a finite number of maximal right ideals ( and finite number of maximal left ideals ).
39.
Every principal right ideal domain " R " is a right fir, since every nonzero principal right ideal of a domain is isomorphic to " R ".
40.
This can be restated as saying that the subspaces in the projective geometry correspond to the principal right ideals of a matrix algebra over a division ring.
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