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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/122/03/0339-0350

    • Keywords

       

      Quotient semigroup; extension semigroup; congruence relation.

    • Abstract

       

      We discuss properties of quotient semigroup of abelian semigroup from the viewpoint of $C^∗$-algebra and apply them to a survey of extension semigroups. Certain interrelations among some equivalence relations of extensions are also considered.

    • Author Affiliations

       

      Rong Xing1 Changguo Wei2 Shudong Liu3

      1. Department of Mathematics, Teachers College of Qingdao University, Qingdao 266071, People’s Republic of China
      2. School of Mathematical Sciences, Ocean University of China, Qingdao 266100, People’s Republic of China
      3. School of Mathematical Sciences, Qufu Normal University, Qufu, Shandong 273165, People’s Republic of China

    • Dates

       
      Published
      August 2012
      Manuscript received
      2 March 2011
      Manuscript revised
      23 May 2011

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