Ruiwen Dong

activity

20232026

most citedLinear equations with monomial constraints and decision problems in abelian-by-cyclic groups

1 citations · 1 across the 7 of their papers we have counts for

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math.GR2026

Subgroup and Submonoid Membership in the lampshuffler of $Z$

Corentin Bodart, Ruiwen Dong

The lampshuffler group of $Z$ is the semidirect product $FSym (Z) ⋊ Z$ , which consists of all permutations of $Z$ that act a…

math.GR2026

Torsion-freeness problem for matrix groups

Ruiwen Dong, Emmanuel Rauzy

We establish three results on decision problems for finitely generated matrix groups, based on fiber products: $∙$ The torsion-freeness problem is undecidable for subgroups o…

math.NT2026

Skolem-Mahler-Lech in rings of positive characteristic: a shorter proof and a multi-dimensional generalization

Ruiwen Dong, Doron Shafrir

Let $R$ be a commutative ring and $f (a_{1}, \dots, a_{n}) = \sum_{i = 1}^{k} r_{i 1}^{a_{1}} \dots r_{in}^{a_{n}} m_{i}$ be a linear-exponential map over an $R$ -module $M$ . Dong and Shafrir (20…

math.GR2026

Standard bases for shift-stable groups and Subgroup Membership in wreath products

Ruiwen Dong

We develop a notion of standard bases for subgroups of the restricted direct product $G^{(N^{n})}$ that are stable under translation by $N^{n}$ , where $G$ is an arbit…

Subgroup and Submonoid Membership in the lampshuffler of Z

Torsion-freeness problem for matrix groups

Skolem-Mahler-Lech in rings of positive characteristic: a shorter proof and a multi-dimensional generalization

Standard bases for shift-stable groups and Subgroup Membership in wreath products

Subgroup and Submonoid Membership in the lampshuffler of $Z$