Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (5): 1131-1135.

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Discriminant of Polynomial Algebra Generated by Four Elements

ZHU Yundi, WANG Yanhua   

  1. School of Mathematics, Shanghai University of Finance and Economics, Shanghai 200433, China
  • Received:2018-12-07 Online:2019-09-26 Published:2019-09-19
  • Contact: WANG Yanhua E-mail:yhw@mail.sufe.edu.cn

Abstract: By analyzing the properties of the basis of k-polynomial algebra generated by n elements over their invariant subring,  and dividing  the symmetric group with n letters, we obtained the discriminant of polynomial algebra generated by four elements.

Key words: discriminant, polynomial algebra, invariant subring, basis, symmetric group

CLC Number: 

  • O153.3