Subject: question Date: Tue, 5 Mar 2002 14:27:57 -0500 (EST) From: Yuli Rudyak Let $G$ be the ring of the stable homotopy of spheres with the compositional multiplication. Does there exists an element $x$ of $G$ such that $xy=0$ for all $y$ in $G$? Simpler question: is there a sequence $a_n, dim a_n>0$ of elements of $G$ such that all the products $a_1 \cdots a_k$ are non-zero? Yuli Dr. Yuli B. Rudyak Department of Mathematics University of Florida 358 Little Hall PO Box 118105 Gainesville, FL 32611-8105 USA TEL: (+1) 352-392-0281 ext. 297(office) TEL: (+1) 352-381-8497(home) FAX: (+1) 352-392-8357