The Hilton-Eckmann argument for cup products

MARIANO SUÁREZ-ALVAREZ

Solís

Congreso; Encuentro Ríoplatense de Álgebra y Geometría Algebraica; 2003

We present a simple extension of the classical Hilton-Eckmann argument which proves that the endomorphism monoid of the unit object in a monoidal category is commutative. It allows us to recover in a uniform way well-known results on the graded-commutativity of cup products defined on the cohomology theories attached to various algebraic structures, as well as some more recent results.