The tensor product of f-algebras |
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Authors: | Youssef Azouzi Jamel Jaber |
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Institution: | Research Laboratory of Algebra, Topology, Arithmetic, and Order, Tunis-El Manar University, 2092-El Manar, Tunisia |
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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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