Zhongming Tang

most citedLocal Homology and Local Cohomology

9 citations · 9 across the 5 of their papers we have counts for

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math.AC2004

On Certain Monomial Sequences

Zhongming Tang

We give equivalent conditions for a monomial sequence to be a d-sequence or a proper sequence, and a sufficient condition for a monomial sequence to be an s-sequence in order to co…

math.AC2004

A Matrix Approach to the Rational Invariants of Certain Classical Groups over Finite Fields of Characteristic Two

Zhongming Tang, Zhe-xian Wan

Let $F_{q}$ be a finite field of characteristic two and $F_{q} (X_{1}, ..., X_{n})$ a rational function field. We use matrix methods to obtain explicit transcendental base…

math.AC2004★ 9 cited

Local Homology and Local Cohomology

Zhongming Tang

Let $(R, m)$ be a local ring, $I$ a proper ideal of $R$ and $M$ a finitely generated $R$ -module of dimension $d$ . We discuss the local homology modules of $H_{I}^{d} (M)$ . When…

math.AC2004

On the Betti Numbers of Shifted Complexes of Stable Simplicial Complexes

Zhongming Tang, Guifen Zhuang

Let $Δ$ be a stable simplicial complex on $n$ vertexes. Over an arbitrary base field $K$ , the symmetric algebraic shifted complex $Δ^{s}$ of $Δ$ is defined. It is proved that the Bet…