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Quotient semigroups and extension semigroups
Authors:RONG XING  CHANGGUO WEI  SHUDONG LIU
Institution: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
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.
Keywords:
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