Annihilators of nilpotent elements
نویسندگان
چکیده
منابع مشابه
Annihilators of nilpotent elements
For an element x of a ring R, let A (x), Ar(x), and A(x) denote, respectively, the left, right and two-sided annihilator of x in R. For a set X , we denote cardX by |X|; and say that a subset Y of X is large in X if |Y | = |X|. We prove that if x is any nilpotent element and I is any infinite ideal of R, then A(x) ∩ I is large in I , and in particular |A (x)| = |Ar(x)| = |A(x)| = |R|. The last ...
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 2005
ISSN: 0161-1712,1687-0425
DOI: 10.1155/ijmms.2005.3517