6 papers
Functional identities of degree 2 at two-sided zero products on incidence algebras
Hongyu Jia, Zhankui Xiao
Let be a commutative ring with unity such that . Let be a connected finite poset with and be the incidence algebra of over . In th…
Finite dimensional zero Jordan product determined algebras are generated by idempotents
Hongyu Jia, Zhankui Xiao
Brešar showed that a finite dimensional unital associative algebra is zero product determined if and only if it is generated by idempotents. For the analogue of zero Jordan product…
Commuting maps of inflated algebras
Hongyu Jia, Zhankui Xiao
Commuting maps on a class of algebras called inflated algebras are investigated. In particular, we can prove that every commuting map on such an algebra is of the form $θ(x)=c…
Images of locally finite -derivations of bivariate polynomial algebras
Hongyu Jia, Xiankun Du, Haifeng Tian
This paper presents an -derivation analogue of a result on derivations due to van den Essen, Wright and Zhao. We prove that the image of a locally finite -$\mathcal…
Images of Linear Derivations and Linear E-derivations of K[x 1 ,x 2 ,x 3 ]
Haifeng Tian, Xiankun Du, Hongyu Jia
Let K be a field of characteristic zero. We prove that images of a linear K-derivation and a linear K-E-derivation of the ring K[x 1 ,x 2 ,x 3 ] of polynomial in three variables ov…
Commuting maps on certain incidence algebras
Hongyu Jia, Zhankui Xiao
Let be a -torsion free commutative ring with unity, a locally finite pre-ordered set and the incidence algebra of over . If…