Monomial algebras

Author(s)

• Villarreal, Rafael H.

Bibliographic Information

Monomial algebras

Rafael H. Villarreal

（Monographs and textbooks in pure and applied mathematics, 238）

Marcel Dekker, c2001

Note

Includes bibliographical references (p. 425-445) and index

Description and Table of Contents

Description

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.

Table of Contents

• 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.

by "Nielsen BookData"

Details

• NCID: BA49971529
• ISBN:
  • 0824705246
• LCCN: 00050927
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: New York
• Pages/Volumes: ix, 455 p.
• Size: 24 cm
• Classification:
  • LCC : QA155
  • DC21 : 512
• Subject Headings:
  • LCSH : Algebra
• Parent Bibliography ID:
  • BA00046446