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Grbner-Shirshov Basis for Degenerate Ringel-Hall Algebras of Type F_4

Grbner-Shirshov Basis for Degenerate Ringel-Hall Algebras of Type F_4
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摘要 In this paper, by using the Frobenius morphism and the multiplication formulas of the generic extension monoid algebra, the authors first give a presentation of the degenerate Ringel-Hall algebra, and then construct the Gr¨obner-Shirshov basis for degenerate Ringel-Hall algebras of type F_4. In this paper, by using the Frobenius morphism and the multiplication formulas of the generic extension monoid algebra, the authors first give a presentation of the degenerate Ringel-Hall algebra, and then construct the Grobner-Shirshov basis for degenerate Ringel-Hall algebras of type F4.
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2016年第2期199-210,共12页 数学年刊(B辑英文版)
基金 supported by the National Natural Science Foundation of China(Nos.11361056,11271043,11471186)
关键词 RINGEL-HALL代数 退化 Frobenius映射 4型 乘法公式 半群代数 Grbner-Shirshov basis Frobenius map Degenerate Ringel-Hall algebras Multiplication formulas
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