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The tensor product of f-algebras
Authors:Youssef Azouzi  Jamel Jaber
Institution:Research Laboratory of Algebra, Topology, Arithmetic, and Order, Tunis-El Manar University, 2092-El Manar, Tunisia
Abstract: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  /></span> of <i>C</i>(<i>X</i>) and <i>C</i>(<i>Y</i>), where <i>X</i> and <i>Y</i> are topological spaces, is an <i>f</i>-subalgebra of <i>C</i>(<i>X</i> × <i>Y</i>).</td>
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Keywords:46A40  46H05  06F25
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