English

Actions of $E-$dense semigroups and an application to the discrete log problem

Group Theory 2019-02-18 v2

Abstract

We describe the structure of EE-dense acts over EE-dense semigroups in an analogous way to that for inverse semigroup acts over inverse semigroups. This is based, to a large extent, on the work of Schein on representations of inverse semigroups by partial one-to-one maps. We consider an application to the discrete log problem in cryptography as well as an application to the same problem using completely regular semigroups.

Keywords

Cite

@article{arxiv.1712.07426,
  title  = {Actions of $E-$dense semigroups and an application to the discrete log problem},
  author = {James Renshaw},
  journal= {arXiv preprint arXiv:1712.07426},
  year   = {2019}
}
R2 v1 2026-06-22T23:24:25.328Z