Shikui Shang

collaborators

3 papers

math.QA2023

Allison-Benkart-Gao functor and the cyclicity of free alternative functors

Shikui Shang

Let $k$ be a field of characteristic $0$ . We introduce a pair of adjoint functors, Allison-Benkart-Gao functor $\AG$ and Berman-Moody functor $\BM$, between the category of non-uni…

math.NT2023

Value sets of non-permutation polynomials over the residue class rings of integers

Shikui Shang

In this paper, we study the value sets of non-permutation polynomial functions over the residue class ring $Z / m Z$ . When $m = p^{r}$ is a power of some prime $p$ , an u…

math.MG2023

The unimodular equivalence of sublattices in an $n$ -dimensional lattice

Shikui Shang

In this paper, we study the unimodular equivalence of sublattices in an $n$ -dimensional lattice. A recursive procedure is given to compute the cardinalities of the unimodular equiv…

Allison-Benkart-Gao functor and the cyclicity of free alternative functors

Value sets of non-permutation polynomials over the residue class rings of integers

The unimodular equivalence of sublattices in an n-dimensional lattice

The unimodular equivalence of sublattices in an $n$ -dimensional lattice