Hongyu Jia

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20192026

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4 papers · 1 filter

math.RA2026

Functional identities of degree 2 at two-sided zero products on incidence algebras

Hongyu Jia, Zhankui Xiao

Let $R$ be a commutative ring with unity such that $\frac{1}{2} \in R$ . Let $X$ be a connected finite poset with $∣ X ∣ > 2$ and $I (X, R)$ be the incidence algebra of $X$ over $R$ . In th…

math.RA2026

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…

math.RA2026

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 $θ$ on such an algebra is of the form $θ(x)=c…

math.RA2019

Commuting maps on certain incidence algebras

Hongyu Jia, Zhankui Xiao

Let $R$ be a $2$ -torsion free commutative ring with unity, $X$ a locally finite pre-ordered set and $I (X, R)$ the incidence algebra of $X$ over $R$ . If…