Abstract
If R is a ring, and A right annulet(= annihilator right ideal) then A[X] is a right annulet of the polynomial ring R[X]. (In factX can be any set of variables.). An annulet I of R[X] of this form is said to be be extended. Not all annulets of R[X] are extended, since e.g., the ascending chain on right annulets (= acc ┴) is not inherited by R[X], as, Kerr [Ke] observed. Nevertheless, maximal (minimal) annulets of a polynomial ring R[X] are extended, as a theorem of McCopy on annihilators in R[X] readily shows (see Introduction).
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