THE TENSOR PRODUCT OF f-ALGEBRAS

摘要

In this paper we prove that the Fremlin tensor product of two f-algebras can be endowed with an f-algebra structure and satisfies an appropriate universal property. In particular, the Riesz tensor product C(X)(circle times) over barC(Y) of C(X) and C(Y), where X and Y are topological spaces, is an f-subalgebra of C(X x Y).