Monday
27
February
2023

Speaker:
Daniella Moore

Time:
15:00

Venue:
Natural Sciences Building, 2013

In this thesis we generalize some results from vector spaces to near-vector spaces in the sense of J. AndrĂ©. In particular, we establish the First Isomorphism Theorem, which leads us to proving that the category of near-vector spaces is an abelian category. We also include an algebraic proof of the non-trivial fact that a subspace of a near-vector space is itself a near-vector space. Other algebraic and categorical properties of near-vector spaces are also obtained.