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).
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页码：359 / 369
页数：11
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