加权半群代数的模适性和模arens正则性

Pub Date : 2019-01-01 DOI:10.4134/CKMS.C170320

G. Asgari, A. Bodaghi, D. E. Bagha

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引用次数: 4

摘要

对于每一个具有幂等子半群E的逆半群S，得到了加权半群代数l1(S， ω)及其第二对偶l1(E)-模相容的充分必要条件。得到了l1(S， ω)模(作为l1(E)模)的Arens正则性的一些结果。如果S是双环逆半群或Brandt逆半群中的任何一个，则证明l1(S， ω)是模可调的，但对任意权ω都不可调。

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MODULE AMENABILITY AND MODULE ARENS REGULARITY OF WEIGHTED SEMIGROUP ALGEBRAS

For every inverse semigroup S with subsemigroup E of idempotents, necessary and sufficient conditions are obtained for the weighted semigroup algebra l1(S, ω) and its second dual to be l1(E)-module amenble. Some results for the module Arens regularity of l1(S, ω) (as an l1(E)module) are found. If S is either of the bicyclic inverse semigroup or the Brandt inverse semigroup, it is shown that l1(S, ω) is module amenable but not amenable for any weight ω.

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