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

‎ 10.29252/mmr.2.1.33
‎ 20.1001.1.25882546.1395.2.1.4.5

XML Persian Abstract Print

Amenability and Weak Amenability of the Semigroup Algebra l^1 (〖 S〗_T )
S.M Mohammadi , J Laali
Abstract:   (2465 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. 

Keywords: Semigroup, Semigroup algebra, Multiplier, Amenability, Weak amenability
Full-Text [PDF 545 kb]   (1059 Downloads)    
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
Rights and permissions
Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.