Module derivations on semigroup algebras

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• 作者：Davood Ebrahimi Bagha ; Massoud Amini
• 关键词：Banach module ; Semigroup algebra ; Inverse semigroup
• 刊名：Semigroup Forum
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：94
• 期：1
• 页码：176-180
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Algebra;
• 出版者：Springer US
• ISSN：1432-2137
• 卷排序：94

文摘

We show that for an inverse semigroup S with the set idempotents E acting on S trivially from left and by multiplication from right, any bounded module derivation from \(\ell ^1(S)\) to \(({\ell ^1(S)}/{J})^*=J^{\perp }\) is inner, where J is the closed ideal generated by elements of the form \(\delta _{set}-\delta _{st}\) with \(s,t\in S\) and \(e\in E\).