APPLIED AND COMPUTATIONAL ALGEBRA

Catalog description

Applies fundamental algebraic systems to a variety of topics, with an emphasis on Groebner bases, utilizing a computational perspective. Multivariable Division Algorithm, Hilbert Basis Theorem, (effective) Nullstellensatz, term orders, S-polynomials, Buchberger’s algorithm, Groebner bases. Applications may include graph coloring, integer programming, ideal membership, polynomial maps.