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 ...

Permutation modules are fundamental in the representation theory of symmetric groups Sn and their corresponding Iwahori–Hecke algebras H = H (Sn). We find an explicit combinatorial basis for the annihilator of a permutation module in the “integral” case — showing that it is a cell ideal in G.E. Murphy’s cell structure of H . The same result holds whenever H is semisimple, but may fail in the no...

In the present paper we provide a uniform bound for the annihilators of the torsion of the Chow groups of the variety of Borel subgroups of a strongly inner linear algebraic group of orthogonal type.

The goal of this paper is study closed ideals and annihilators over the class distributive dual weakly complemented lattices(DDWCL's). algebraic structure ideals, dense are shown. connection between andannihilators in obtained.