In algebraic topology, a Steenrod algebra was defined by Cartan (1955) to be the algebra of stable cohomology operations for mod p cohomology.
For a given prime number p, the Steenrod algebra Ap is the graded Hopf algebra over the field Fp of order p, consisting of all stable cohomology operations for mod p cohomology. It is generated by the Steenrod squares introduced by Steenrod (1947) for p=2, and by the Steenrod reduced pth powers introduced in Steenrod (1953) and the Bockstein homomorphism for p>2.
The term "Steenrod algebra" is also sometimes used for the algebra of cohomology operations of a generalized cohomology theory.
Read more about Steenrod Algebra: Cohomology Operations, Axiomatic Characterization, Adem Relations, Construction, The Structure of The Steenrod Algebra, Hopf Algebra Structure and The Milnor Basis, Relation To Formal Groups, Algebraic Construction, Applications, Connection To The Adams Spectral Sequence and The Homotopy Groups of Spheres
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