• Duo, quasi-duo and ascending chain condition principal properties over skew PBW extensions 

      Suárez Gómez, Yésica Paola
      Ore extensions (introduced by Ore [33]) have been one of the most studied non-commutative structures in the last century. The skew polynomial rings (see Definition 1.1.1) are an Ore extensions that thanks to its similarity ...
      Universidad Nacional de Colombia Sede Bogotá Facultad de Ciencias Departamento de Matemáticas. 
    • Involutive and SAGBI bases for skew PBW extensions 

      Suárez Gómez, Yésica Paola
      In this thesis, we study homological properties and SAGBI and Involutive bases of the noncommutative rings known as skew PBW extensions. First, we present some ring- theoretical notions of these extensions that are necessary ...