Abstract
Baues introduced a notion of a square ring to describe the structure of a near ring [ΣX , ΣX]. To determine the square ring structure of [ΣX , ΣX] for X =Cα with a metastable element α in terms of the homotopy properties of α, Baues and Iwase introduced a notion of a square form. To determine [ΣX , ΣX] for more general X, we extend the definition of a square form over a ring with torsion. The concrete description of the square ring [ΣX , ΣX] for more general α using our new square forms shall be appeared soon.
