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Monomial Algebras

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Monomial Algebras presents algebraic, combinatorial, and computational methods for studying monomial algebras and their ideals, including Stanley–Reisner rings, monomial subrings, Ehrhart rings, and blowup algebras. It emphasizes square-free monomials and the corresponding graphs, clutters, or hypergraphs.

New to the Third Edition

  • Two full new chapters covering linear and Reed–Muller-type codes (chapter 9), and the containment problem and the resurgence of ideals (chapter 16)
  • Extensive add...