Koszul Algebras and Computations

DOI10.1007/978-3-319-51319-5_1zbMath1365.13019OpenAlexW2609788690MaRDI QIDQ2974695

Emanuela De Negri, Anna Maria Bigatti

Publication date: 10 April 2017

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-51319-5_1

zbMATH Keywords

Koszul algebrasresolutionsKoszul filtrationsG-quadratic and LG-quadratic algebras

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Syzygies, resolutions, complexes and commutative rings (13D02)

Uses Software

• CoCoA
• CoCoALib
• Gfan
• CaTS

Cites Work

• A criterion for detecting m-regularity
• The Gröbner fan of an ideal
• A counterexample to a conjecture of Serre
• Computing toric ideals
• On the Charney-Davis and Neggers-Stanley conjectures
• Good and bad Koszul algebras and their Hochschild homology
• Toric rings generated by special stable sets of monomials
• Koszul property for points in projective spaces
• Koszul Algebras and Regularity
• Stanley Decompositions Using CoCoA
• Ideals, Varieties, and Algorithms
• Quadratic interval refinement for real roots
• Koszul Resolutions
• CoCoALib: A C++ Library for Computations in Commutative Algebra... and Beyond
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