$C_3$型的退化Ringel-Hall代数的Gr\"{o}bner-Shirshov基

Gr\"{o}bner-Shirshov Basis for Degenerate Ringel-Hall Algebra of Type $C_3$

中文关键词:  Gr\"{o}bner-Shirshov基  Frobenius映射  退化的Ringel-Hall代数  幺半群代数

英文关键词:Gr\"{o}bner-Shirshov basis  Frobenius map  degenerate Ringel-Hall algebras  monoid algebra

中文摘要:

      利用一般幺半群代数, 给出了$C_3$型的退化Ringel-Hall代数的Gr\"{o}bner-Shirshov基.

英文摘要:

      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.