Rings

• The integer ring
  • Factorization of a large integer
  • Sums of Squares
  • Amicable numbers
• Univariate Polynomial rings
  • Factorization over GF(2^100)
  • Modular GCD algorithm
  • The Berlekamp algorithm
  • Factorization of a large-degree polynomial over the integers
  • Cyclotomic polynomials
• Multivariate Polynomial rings and Gröbner Bases
  • Cyclic-6 Roots Gröbner Basis
  • Primary Decomposition and Radical of an Ideal
  • Multivariate Factorization
• Invariant Rings
  • Investigating Invariant Rings
  • Modular Invariant Rings
  • Fundamental Invariants

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