Volume 2, Issue 1 (9-2016)                   mmr 2016, 2(1): 33-46 | Back to browse issues page


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Mohammadi S, Laali J. Amenability and Weak Amenability of the Semigroup Algebra l^1 (〖 S〗_T ). mmr 2016; 2 (1) :33-46
URL: http://mmr.khu.ac.ir/article-1-2576-en.html
Abstract:   (2451 Views)

Let S be a semigroup with a left multiplier  on S. A new product on S is defined by  related to S and  such that S and the new semigroup ST have the same underlying set as S. It is shown that if  is injective then where, is the extension of  on  Also, we show that if  is bijective then is amenable if and only if is so. Moreover, if  S completely regular, then is weakly amenable. 

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Type of Study: S | Subject: alg
Received: 2017/01/16 | Revised: 2017/09/13 | Accepted: 2017/01/16 | Published: 2017/01/16 | ePublished: 2017/01/16

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