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Characteristic Modules of Dual Extensions and Groebner Bases

作者:YunGeXU; LongCaiLI准遗传代数双重扩展特征模李群

摘要:Let C be a finite dimensional directed algebra over an algebraically closed field k and A=A(C) the dual extension of C. The characteristic modules of A are constructed explicitly for a class of directed algebras, which generalizes the results of Xi. Furthermore, it is shown that the characteristic modules of dual extensions of a certain class of directed algebras admit the left Groebner basis theory in the sense of E. L. Green.

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数学学报

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