7 citations · 14 across the 13 of their papers we have counts for
15 papers
When is a 2-Power Cyclotomic Extension cyclic?
Sophie Marques, Elizabeth Mrema
This paper characterizes the cyclicity property of -power cyclotomic extensions through various means: the structure of the Galois groups, the nature of their subextensions, tow…
Gluing Data categories and gluing data functors
Sophie Marques, Damas Mgani
We present a novel approach to the concept of gluing in mathematics by introducing the notions of a gluing data category and a gluing data functor. Our work provides a formal categ…
Near-field structures on a given scalar group
Sophie Marques, Leandro Boonzaaier
With this paper, we gain a better understanding of the set of near-field structures on a fixed scalar group. If we were able to describe all near-field structures on a fixed scalar…
Near-linear algebra
Sophie Marques, Daniella Moore
In this paper, we prove that the world of near-vector spaces allows us to work with non-linear problems and yet, gives access to most of the tools linear algebra has to offer. We e…
A note on quadratic cyclotomic extensions
Sophie Marques, Elizabeth Mrema
This paper provides two characterizations of the primitive roots of unity in quadratic cyclotomic extensions over arbitrary fields. Firstly, we introduce a mapping from $\mathbb{N}…
The geometry of the moduli Space of non-cyclic biquadratic field extensions
Mpendulo Cele, Sophie Marques
In this paper, we investigate the existence of an elementary abelian closure in characteristic not for biquadratic extensions. We discover that it exists for any non-cyclic ext…