Abstract
S. Araki [2] and R. Vazquez [7] defined two types of Steenrod squaring operations in the spectral sequence mod 2 associated with a fibre space in the sense of Serre, by using the cubical singular cohomology theory. They computed the Cartan formula and Adams relation. H. Uehara [5] established an algebraic analogy to their work. He discovered and investigated the Steenrod operations in the Adams spectral sequence associated with a pair of Hopf algebras. In Paragraph 1 of this paper, [5] is modified and reviewed. It is shown that the operations are independent of the higher homotopies under a certain filtration condition and the Cartan formula is obtained.
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