Tensor-multinomial sums of ideals: Primary decompositions and persistence of associated primes

DOI10.1090/proc/14630zbMath1436.13018arXiv1806.03545OpenAlexW2806739792MaRDI QIDQ5238090

Robert M. Walker, Irena Swanson

Publication date: 28 October 2019

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

Full work available at URL: https://arxiv.org/abs/1806.03545

zbMATH Keywords

associated primesnormal idealNoetherian $K$-algebraspersistence property on associated primespowers of sums of idealsprimary decompositions of posers of sums of ideals

Mathematics Subject Classification ID

Singularities in algebraic geometry (14B05) Integral closure of commutative rings and ideals (13B22) Structure, classification theorems for modules and ideals in commutative rings (13C05)

Related Items (5)

Powers of sums and their associated primes ⋮ Binomial expansion for saturated and symbolic powers of sums of ideals ⋮ Integral closures of powers of sums of ideals ⋮ Many associated primes of powers of primes ⋮ An algebraic approach to projective uniqueness with an application to order polytopes

Uses Software

• Macaulay2
• HNTTBinomial

Cites Work

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• The stable set of associated prime ideals of a polymatroidal ideal
• Associated primes of powers of edge ideals
• Squarefree monomial ideals that fail the persistence property and non-increasing depth
• Primary decomposition: Compatibility, independence and linear growth
• Asymptotic Stability of Ass(M/I n M)
• Uniform symbolic topologies via multinomial expansions

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