English

Determining cyclicity of finite modules

Commutative Algebra 2015-04-06 v2

Abstract

We present a deterministic polynomial-time algorithm that determines whether a finite module over a finite commutative ring is cyclic, and if it is, outputs a generator.

Keywords

Cite

@article{arxiv.1501.00183,
  title  = {Determining cyclicity of finite modules},
  author = {H. W. Lenstra and A. Silverberg},
  journal= {arXiv preprint arXiv:1501.00183},
  year   = {2015}
}

Comments

to appear in Journal of Symbolic Computation

R2 v1 2026-06-22T07:48:18.703Z