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 t...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.展开更多
基金Supported by the National Natural Science Foundation of China(Grant Nos.11471186,11361056)the Natural Science Foundation of Beijing(Grant No.1162002)
文摘The GrSbner-Shirshov basis of the degenerate Ringel-Hall Algebras of type C3 is obtained by studying the generic extension monoid algebra.
基金supported by the National Natural Science Foundation of China(Nos.11361056,11271043,11471186)
文摘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.
