Abstract.
The core of an ideal is the intersection of all its reductions. For large classes of ideals I we explicitly describe the core as a colon ideal of a power of a single reduction and a power of I.
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Mathematics Subject Classification (2000): 13B22, 13A30, 13B21, 13C40, 13H10
The authors were partially supported by the NSF.
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Polini, C., Ulrich, B. A formula for the core of an ideal. Math. Ann. 331, 487–503 (2005). https://doi.org/10.1007/s00208-004-0560-z
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DOI: https://doi.org/10.1007/s00208-004-0560-z