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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 Name
Affiliation
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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