An introduction to the methods used to study monomial algebras and their presentation ideals, including Stanley-Reisner rings, subrings, and toric varieties. It emphasizes square-free quadratics and effective computational methods, and applies a combinatorial description of the integral closure of the corresponding monomial subring to graph theory.
Reihe
Sprache
Verlagsort
Verlagsgruppe
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Maße
Höhe: 279 mm
Breite: 216 mm
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ISBN-13
978-0-8247-0524-4 (9780824705244)
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Schweitzer Klassifikation
Autor*in
Centro de Investigacion, Mexico City, Mexico
Commutative algebra; affine and graded algebras; Rees algebras and normality; Hilbert series; monomial ideals and Stanley-Reisner rings; edge ideals; monomial subrings; monomial subrings of graphs; semigroup rings of complete graphs; monomial curves; affine toric varieties and toric ideals; graph diagrams.