• Binary closure operators 

      Abdalla, Abdurahman Masoud (Stellenbosch : Stellenbosch University, 2016-03)
      ENGLISH ABSTRACT : In this thesis we provide a new foundation to categorical closure operators, using more elementary binary closure operators on posets. The original goal of the thesis was to study a categorical closure ...
    • A categorical approach to lattice-like structures 

      Hoefnagel, Michael Anton (Stellenbosch : Stellenbosch University, 2018-12)
      ENGLISH ABSTRACT : This thesis is a first step in a categorical approach to lattice-like structures. Its central notion, that of a majority category, relates to the category of lattices, in a similar way as Mal’tsev ...
    • Concrete foundations of the theory of Noetherian forms 

      Van Niekerk, Francois Koch (Stellenbosch : Stellenbosch University, 2019-12)
      ENGLISH ABSTRACT: This thesis concerns certain investigations in abstract algebra that bring together the ideas of the category of algebraic structures and the lattice of substructures. A central notion in such investigation ...