1 citations · 1 across the 10 of their papers we have counts for
11 papers
A Totient Function Associated with Variants of Groups
James Renshaw
Motivated by an application of semigroup variants to the discrete log problem in groups and related cryptographic applications, we introduce a new kind of totient function, related…
Semilattices of Stratified Semigroups
James Renshaw, William Warhurst
In 1995 Grillet introduced the concept of a stratified semigroup as a kind of generalisation of finite nilsemigroups. We extend these ideas here by allowing a more general Base and…
Completely Regular Semigroups and the Discrete Log Problem
James Renshaw
We consider an application to the discrete log problem using completely regular semigroups which may provide a more secure symmetric cryptosystem than the classic system based on g…
Actions of dense semigroups and an application to the discrete log problem
James Renshaw
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 exte…
On free products and amalgams of pomonoids
Bana Al Subaiei, James Renshaw
The study of amalgamation in the category of partially ordered monoids was initiated by Fakhuruddin in the 1980s. In 1986 he proved that, in the category of commutative pomonoids,…
A short note on strongly flat covers of acts over monoids
Alex Bailey, James Renshaw
Recently two different concepts of covers of acts over monoids have been studied. That based on coessential epimorphisms and that based on Enochs' definition of a flat cover of a m…