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Browsing School of Mathematics and Statistics · Te Kura Mātai Tatauranga by Subject "230103 Rings and Algebras"

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Browsing School of Mathematics and Statistics · Te Kura Mātai Tatauranga by Subject "230103 Rings and Algebras"

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  • The Algebraic and Geometric Classification of Four Dimensional Superalgebras 
    Armour, Aaron (Victoria University of Wellington, 2006)
    The algebraic and geometric classification of k-algbras, of dimension four or less, was started by Gabriel in “Finite representation type is open” [12]. Several years later Mazzola continued in this direction with his ...
  • Introduction to Polynomial Invariants of Screw Systems 
    Donelan, Peter; Selig, Jon (Victoria University of Wellington, 2006)
    Screw systems describe the infinitesimal motion of multi–degree-of-freedom rigid bodies, such as end-effectors of robot manipulators. While there exists an exhaustive classification of screw systems, it is based largely ...
  • Monadic Bounded Algebras 
    Akishev, Galym (Victoria University of Wellington, 2009)
    The object of study of the thesis is the notion of monadic bounded algebras (shortly, MBA's). These algebras are motivated by certain natural constructions in free (first-order) monadic logic and are related to free monadic ...
  • Reverse Mathematics of Divisibility in Integral Domains 
    Bura, Valentin B (Victoria University of Wellington, 2013)
    This thesis establishes new results concerning the proof-theoretic strength of two classic theorems of Ring Theory relating to factorization in integral domains. The first theorem asserts that if every irreducible is a ...

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