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pro vyhledávání: '"Xiankun Du"'
Autor:
Xiankun Du, Qi Yi
Publikováno v:
International Journal of Mathematics and Mathematical Sciences, Vol 25, Iss 6, Pp 417-420 (2001)
It is proved that a ring is periodic if and only if, for any elements x and y, there exist positive integers k,l,m, and n with either k≠m or l≠n, depending on x and y, for which xkyl=xmyn. Necessary and sufficient conditions are established for a
Externí odkaz:
https://doaj.org/article/357948578ecc43b688e0f0f0d5886c81
Autor:
Kaiqiang Zhang, Xiankun Du
Publikováno v:
Journal of Algebra. 631:1-23
Set-theoretic solutions to the Yang-Baxter equation have been studied extensively by means of related algebraic systems such as cycle sets and braces, dynamical versions of which have also been developed. No work focuses on set-theoretic solutions to
Publikováno v:
Journal of Algebra. 630:162-174
Publikováno v:
Phyton. 92:611-628
Publikováno v:
Communications in Mathematical Research. 38:421-429
Autor:
Xiankun Du, Yueyue Li
Publikováno v:
Communications in Algebra. 48:3307-3314
Let K be a commutative algebra over a field and A=K[x1,x2,…,xn] the polynomial algebra over K. It is proved that the discriminant of A over the symmetric polynomials is the Vandermonde determinant ...
Publikováno v:
Canadian Mathematical Bulletin. 63:94-105
We present conditions for a set of matrices satisfying a permutation identity to be simultaneously triangularizable. As applications of our results, we generalize Radjavi’s result on triangularization of matrices with permutable trace and results b
Autor:
Xiankun Du, Hang Yang
Publikováno v:
Communications in Algebra. 46:1534-1538
Let F be a polynomial map in two variables over the complex field with nonzero constant Jacobian. Abhyankar proved that if F is smooth on generic lines then F is invertible. We sharpen Abhyankar’s result by proving that if F(𝕃) is smooth on one
Publikováno v:
Linear and Multilinear Algebra. 66:1362-1379
To generalize D-nilpotent matrices that play a role in study of Druzkowski maps, we introduce quasi-D-nilpotent matrices. A matrix A is called quasi-D-nilpotent if there exists a subspace V of diagonal matrices of codimension 1 such that DA is nilpot
Autor:
Xiankun Du, Shahida Bashir
Publikováno v:
ANNALS OF FUZZY MATHEMATICS AND INFORMATICS. 13:539-551