On powers of some classes of monomial ideals

DOI10.4134/bkms.b230647MaRDI QIDQ6655018

Hafsa Bibi, Asia Rauf, Ayesha Umar

Publication date: 20 December 2024

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

depthpersistence propertyedge idealsstrong persistence property

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)

Cites Work

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• Persistence and stability properties of powers of ideals
• Colorings of hypergraphs, perfect graphs, and associated primes of powers of monomial ideals
• The reconstruction conjecture and edge ideals
• On the ideal theory of graphs
• Symbolic powers of edge ideals.
• Associated primes of powers of edge ideals
• Embedded associated primes of powers of square-free monomial ideals
• Asymptotic Stability of Ass(M/I n M)
• The asymptotic nature of the analytic spread
• Superficial ideals for monomial ideals
• The strong persistence property and symbolic strong persistence property
• Depths of Powers of the Edge Ideal of a Tree
• Stability of depths of powers of edge ideals

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