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The multiplicity and the Cohen–Macaulayness of extended Rees algebras of equimultiple ideals
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The paper "The multiplicity and the Cohen–Macaulayness of extended Rees algebras of equimultiple ideals" gives some multiplicity formulas of the extended Rees algebras \({\rm{T = A[It}}{\rm{,}}{{\rm{t}}^{ - 1}}{\rm{]}}\). In the case A generalized Cohen–Macaulay, we determine when T is Cohen–Macaulay and as an immediate consequence we obtain e.g., some criteria for the Cohen–Macaulayness of Rees algebra R(I) over a Cohen–Macaulay ring in terms of reduction numbers and ideals.
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