Browsing Teses e dissertações by Subject "Álgebra"

Now showing items 1-7 of 7

    • Poliedro de Newton e o número de Milnor 

      Spohr, Cristina (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 24/02/2006)
      In this work, we study the relation between Milnor's number and the Newton's number of a formal series. The former is always greater than or equal to the latter and equality occurs whan the formal series f has non-degenerate ...

    • Representações dos grupos simétrico e alternante e aplicações às identidades polinomiais 

      Fonseca, Marlon Pimenta (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 28/11/2014)
      In this dissertation we ll present a discussion about the Representations of the Symmetric Group Sn and Alternating Group An. We ll study basics results of the Young s Theory about the representations of the Symmetric Group ...

    • Exemplos de T-espaços e T-ideais infinitamente gerados 

      Urure, Ronald Ismael Quispe (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 14/08/2014)
      Let F be a field of characteristic p ≥ 3. Denote by F0(X) and F1(X) the free associative algebras without and with unity, respectively, freely generated by the infinite set X. In this dissertation we study T-spaces ...

    • Graduações de grupo na álgebra das matrizes triangulares superiores 

      Menis, Alexandra Cristina (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 11/08/2009)
      In this work we study group gradings on the upper triangular matrices algebra UTn(F), which have several applications in the PI-algebra theory. Our main purpose is to exhibit a description of all _nite gradings of UTn(F) ...

    • Grafos eulerianos e identidades polinomiais na álgebra Mn(K) 

      Gonçalves, Fernanda Scabio (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 27/08/2013)
      In this work we present some applications of graph theory in problems involving polynomial identities for the algebra Mn (K). A brief presentation of PI-theory and some concepts of graph theory, such as the definition of ...

    • Teoria de invariantes de formas binárias 

      Fehlberg Júnior, Renato (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, , 26/03/2010)
      In this work, we studied article [6], that answers the following questions:how are all covariants of binary forms? What are and how to find the canonicalforms of the binary forms of degree n? Is there a finite generating ...

    • Graduações e identidades polinomiais graduadas para a álgebra de matrizes triangulares superiores 

      Ferreira, Lorrayne Cristina Silva (Universidade Federal de São Carlos, UFSCar, Programa de Pós-Graduação em Matemática - PPGM, Câmpus São Carlos, 03/12/2020)
      Let F be a field and let G be a group. Denote by UTn(F) the algebra of n × n upper triangular matrices over F. The mathematicians Valenti and Zaicev described all G-gradings on UTn(F), and the mathematicians Di Vincenzo, ...