Powers of monomial ideals and the Ratliff-Rush operation

zbMath1440.13011arXiv1908.10185MaRDI QIDQ5919521

Oleksandra Gasanova

Publication date: 23 March 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.10185

zbMATH Keywords

polynomial ringspowers of monomial idealsRatliff-Rush operation

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Ideals and multiplicative ideal theory in commutative rings (13A15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Formal power series rings (13F25)

Cites Work

• Castelnuovo-Mumford regularity and Ratliff-Rush closure
• AN ALGORITHM FOR COMPUTING THE RATLIFF–RUSH CLOSURE
• The ratliff-rush ideals in a noetherian ring
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