Linear Bounds on Growth of Associated Primes
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Publication:4361045
DOI10.1080/00927879708826041zbMath0889.13002arXivmath/0209309OpenAlexW2073647717MaRDI QIDQ4361045
Publication date: 11 June 1998
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0209309
associated primestight closureCastelnuovo-Mumford regularityFrobenius powerideals generated by monomialsprimary components of powers
Integral closure of commutative rings and ideals (13B22) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15)
Related Items (10)
Tight closure commutes with localization in binomial rings ⋮ Ideals in a perfect closure, linear growth of primary decompositions, and tight closure ⋮ An effective avoidance principle for a class of ideals ⋮ Associated Primes of the Example of Brenner and Monsky ⋮ Localization of tight closure in two-dimensional rings ⋮ Asymptotic linear bounds for the Castelnuovo-Mumford regularity ⋮ Local Okounkov bodies and limits in prime characteristic ⋮ Growth of primary decompositions of Frobenius powers of ideals ⋮ Differential operators on monomial rings ⋮ Four counterexamples in combinatorial algebraic geometry
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- R-SEQUENCES AND INDETERMINATES
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