Now showing items 1-6 of 6

    • Algebraic Approaches to State Complexity of Regular Operations 

      Davies, Sylvie (University of Waterloo, 2019-10-15)
      The state complexity of operations on regular languages is an active area of research in theoretical computer science. Through connections with algebra, particularly the theory of semigroups and monoids, many problems ...
    • Contributions to the Theory of Radicals for Noncommutative Rings 

      Madill, Blake (University of Waterloo, 2017-06-20)
      We consider several radical classes of noncommutative rings. In particular, we provide new results regarding the radical theory of semigroup-graded rings, monomial algebras, and Ore extensions of derivation type. In ...
    • On Hopf Ore Extensions and Zariski Cancellation Problems 

      Huang, Hongdi (University of Waterloo, 2020-04-29)
      In this thesis, we investigate Ore extensions of Hopf algebras and the Zariski Cancellation problem for noncommutative rings. In particular, we improve upon the existing conditions for when $T=R[x; \sigma, \delta]$ is a ...
    • On the Dynamical Wilf-Zeilberger Problem 

      Sun, Yuxuan (University of Waterloo, 2022-08-15)
      In this paper, we give an algorithmic solution to a dynamical analog of the problem of certifying combinatorial identities by Wilf-Zeilberger pairs. Given two sequences generated in a dynamical setting, we calculate an ...
    • Recurrence in Algebraic Dynamics 

      Hossain, Ehsaan (University of Waterloo, 2020-07-28)
      The Dynamical Mordell--Lang Conjecture states that if a polynomial orbit has infinite intersection with a closed set in an algebraic variety, then the intersection must occur periodically. Although this problem is unsolved ...
    • Sparse Automatic Sets 

      Albayrak, Seda (University of Waterloo, 2020-11-26)
      The theory of automatic sets and sequences arises naturally in many different areas of mathematics, notably in the study of algebraic power series in positive characteristic, due to work of Christol, and in Derksen's ...


      University of Waterloo Library
      200 University Avenue West
      Waterloo, Ontario, Canada N2L 3G1
      519 888 4883

      All items in UWSpace are protected by copyright, with all rights reserved.

      DSpace software

      Service outages