Gr\"{o}bner-Shirshov Basis for Degenerate Ringel-Hall Algebra of Type $C_3$
Received:July 25, 2015  Revised:March 08, 2016
Key Words: Gr\"{o}bner-Shirshov basis   Frobenius map   degenerate Ringel-Hall algebras   monoid algebra  
Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.\,11471186; 11361056) and the Natural Science Foundation of Beijing (Grant No.\,1162002).
Author NameAffiliation
Zhenzhen GAO College of Applied Sciences, Beijing University of Technology, Beijing 100124, P. R. China 
Shilin YANG College of Applied Sciences, Beijing University of Technology, Beijing 100124, P. R. China 
Abdukadir OBUL College of Mathematics and System Sciences, Xinjiang University, Xinjiang 830046, P. R. China 
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Abstract:
      The Gr\"{o}bner-Shirshov basis of the degenerate Ringel-Hall Algebras of type $C_3$ is obtained by studying the generic extension monoid algebra.
Citation:
DOI:10.3770/j.issn:2095-2651.2016.04.006
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