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arXiv · 1512.00703

The tensor product of function algebras

Youssef Azouzi·Mohamed Amine Ben Amor·Jamel Jaber
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Abstract

In this paper we study the tensor product of two $f$-algebras. We show that the Riesz Subspace generated by a subalgebra in an $f$-algebra is an algebra in order to prove that the Riesz tensor product of two $f$-algebras has a structure of an $f$-algebra.

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Youssef Azouzi, Mohamed Amine Ben Amor, Jamel Jaber. 2015-12-01. The tensor product of function algebras. https://arxiv.org/abs/1512.00703

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