paper

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

arXiv:1712.07426

Abstract

We describe the structure of dense acts over 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.

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