Browsing by Author "Reyes, Armando"

Now showing items 1-6 of 6

    • A note on zip and reversible skew PBW extensions 

      Reyes, Armando; Suárez, Héctor
      In this note we establish necessary and sufficient conditions to guarantee the existence of zip and reversible skew PBW extensions.
      Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas. 

    • BASES FOR QUANTUM ALGEBRAS AND SKEW POINCARÉ-BIRKHOFF-WITT EXTENSIONS 

      Reyes, Armando; Suárez, Héctor
      Considering quantum algebras and skew Poincaré-Birkhoff-Witt (PBW for short) extensions defined by a ring and a set of variables with relations between them, we are interesting in finding a criteria and some algorithms ...
      Universidad Nacional de Colombia Revistas electrónicas UN MOMENTO - Revista de Física. 

    • Calabi-Yau property for graded skew PBW extensions 

      Suárez, Héctor; Lezama, Oswaldo; Reyes, Armando
      Graded skew PBW extensions were defined by the first author as a generalization of graded iterated Ore extensions [36]. The purpose of this paper is to study the Artin-Schelter regularity and the (skew) Calabi-Yau condition ...
      Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas. 

    • Gelfand-kirillov dimension of skew pbw extensions 

      Reyes, Armando
      Gelfand-Kirillov dimension of Poincaré-Birkhoff-Witt (PBW for short) extensions was established by Matczuk ([15], Theorem A). Since PBW extensions are a particular example of skew PBWextensions (also called σ-PBW extensions), ...
      Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas. 

    • Some ring theoretical properties of skew Poincaré-Birkhoff-Witt extensions 

      Niño, Arturo; Reyes, Armando
      In this paper we investigate a notion of Armendariz ring for skew Poincaré-Birkhoff-Witt extensions. We proceed with the study on the relationship between the ring theoretical properties of being Baer, quasi-Baer, p.p. and ...
      Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas. 

    • Uniform dimension over skew pbw extensions 

      Reyes, Armando
      The aim of the present paper is to show that, under some conditions, the uniform dimension of a ring R is the same as the uniform dimension of a skew Poincaré-Birkhoff-Witt extension built on R.
      Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas.