Author

Hong-Feng Wu

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Preprint Sep 2026

Peirce Stability of Null Polynomials and a Sharp Radical Bound for Finite Rings

Let $R$ be a finite associative ring with identity, and let $\Nul(R)$ denote the set of polynomials in a central indeterminate that vanish identically on $R$ under right evaluation. We establish two results concerning the failure of $\Nul(R)$ to be a right ideal. First, if $e$ is an idempotent, $f=1-e$, and either $eRf...

Hong-Feng Wu · 0 citations

Preprint Sep 2026

Support-Primitive Decomposition of Constacyclic Codes over Finite Fields: Coefficients-Based and Roots-Based Descriptions

Let $\mathcal C=(f)$ be a $\lambda$-constacyclic code over $\mathbb F_q$, where $f(X)$ is a monic factor of $X^N-\lambda$ with nonzero constant term. We introduce the support period $\operatorname{sp}(f)$ of $f(X)$, and define its support-primitive core $f_{\mathrm{sp}}(X)$ as the unique support-primitive polynomial sa...

Li Zhu, Hong-Feng Wu · 0 citations