THE TENSOR PRODUCT OF f-ALGEBRAS

被引：5

作者：

Azouzi, Youssef ^{[1
]}

Ben Amor, Mohamed Amine ^{[1
]}

Jaber, Jamel ^{[1
]}

机构：

[1] Tunis El Manar Univ, Res Lab Algebra Topol Arithmet & Order, El Manar 2092, Tunisia

来源：

QUAESTIONES MATHEMATICAE | 2018年 / 41卷 / 03期

关键词：

Tensor product; f-algebras; Riesz subspace;

D O I：

10.2989/16073606.2017.1382018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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).

引用

页码：359 / 369

页数：11

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