Titlebook: Binomial Ideals; Jürgen Herzog,Takayuki Hibi,Hidefumi Ohsugi Textbook 2018 Springer International Publishing AG, part of Springer Nature 2

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Jürgen Herzog,Takayuki Hibi,Hidefumi OhsugiPresents a thorough study of binomial ideals and their applications, working from the basics through to current research.Offers an accessible introduction to the area for combinatorialists and statist

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,Fallstudie: ‚Kontaktzone‘ Zoo,an edge polytope is normal if and only if it possesses a unimodular covering (Theorem 5.20). Finally, in Section 5.5, Gröbner bases of toric ideals arising from bipartite graphs will be discussed. In particular, we show that the toric ideal of the edge ring of a bipartite graph is generated by quadr

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Jenseits der Religion, jenseits der Politik?9.4, we study the toric rings and ideals of hierarchical models. In particular, the toric rings of no .-way interaction models are related to the notion of .th Lawrence liftings. Finally, in Section 9.5, as generalizations of Segre products and Veronese subrings, the so-called Segre–Veronese configu

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Review of Commutative Algebras whose graded maximal ideal has a linear resolution. Unless this graded ring is a polynomial ring, this resolution is infinite. We discuss various necessary and sufficient conditions for Koszulness. The methods involved include Gröbner bases and Koszul filtrations.

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Introduction to Binomial Idealshe saturation of any binomial ideal is a lattice ideal, and that the lattice ideals are exactly those which are saturated. The ideal generated by the binomials corresponding to the basis vectors of a basis of the lattice . is called a lattice basis ideal. Its saturation is the lattice ideal .. The c