加权半群代数的模适性和模arens正则性

IF 0.5 Q3 MATHEMATICS Communications of the Korean Mathematical Society 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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来源期刊

Communications of the Korean Mathematical Society MATHEMATICS-

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1.10

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0.00%

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期刊介绍： This journal endeavors to publish significant research and survey of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of four issues (January, April, July, October).

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