Commutativity of some Archimedean ordered algebras

被引：1

作者：

Kouki, Naoual ^{[1
]}

Toumi, Mohamed Ali ^{[1
]}

Toumi, Nedra ^{[1
]}

机构：

[1] Fac Sci Bizerte, Dept Math, Zarzouna 7021, Bizerte, Tunisia

来源：

POSITIVITY | 2014年 / 18卷 / 04期

关键词：

Almost f-algebra; f-Algebra; Band preserving; Inner derivation orthogonally null; COMPLETE VECTOR LATTICES; F-ALGEBRAS; PRESERVING OPERATORS;

D O I：

10.1007/s11117-014-0277-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, using derivation theory, we present some results concerning the automatic order boundedness of band preserving operators on Archimedean semiprime -algebras. Finally, inspired by the proof of Bernau and Huijsmans (Math Proc Camb Philos Soc 107:287-308, 1990), we give necessary and sufficient conditions for Archimedean lattice-ordered algebras to be commutative.

引用

页码：805 / 821

页数：17

共 19 条

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