Polarization of Koszul cycles with applications to powers of edge ideals of whisker graphs

DOI10.1090/S0002-9939-2015-12456-2zbMath1318.13014arXiv1310.7984OpenAlexW1986685457MaRDI QIDQ5246903

Takayuki Hibi, Ayesha Asloob Qureshi, Jürgen Herzog

Publication date: 22 April 2015

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.7984

zbMATH Keywords

polarizationKoszul complexedge idealswhisker graphs

Mathematics Subject Classification ID

Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Other special types of modules and ideals in commutative rings (13C13) Combinatorial aspects of commutative algebra (05E40) Arithmetic rings and other special commutative rings (13F99)

Related Items

Support posets of some monomial ideals ⋮ Polarization and depolarization of monomial ideals with application to multi-state system reliability

Cites Work

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• Persistence and stability properties of powers of ideals
• Cohen-Macaulay Rees algebras and their specialization
• On the ideal theory of graphs
• The stable set of associated primes of the ideal of a graph
• Associated primes of powers of edge ideals
• Monomial ideals whose depth function has any given number of strict local maxima
• Powers of complete intersections: Graded Betti numbers and applications
• The depth of powers of an ideal
• The asymptotic nature of the analytic spread
• Monomial Ideals
• Depths of Powers of the Edge Ideal of a Tree