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Abstract. The structure of certain equimultiple good ideals in Gorenstein local rings obtained by idealization is explored.

This paper studies the question of when the associated graded ring I = n≥0 I n /I n+1 of a certain ideal I in a local ring is Gorenstein. The main result implies, for example, that if A is a regular local ring, is a prime ideal in A with dim A/ = 2, and A/ is a complete intersection in codimension one, then the associated graded ring is Gorenstein if and only if the reduction number of is at most 1.  2002 Elsevier Science (USA)

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This paper gives a necessary and sufficient condition for Gorensteinness in Rees algebras of the d-th power of parameter ideals in certain Noetherian local rings of dimension d ≥ 2. The main result implies that, for example, the Rees algebra R(q d ) = ⊕ i≥0 q di is Gorenstein for any parameter ideal q that is a reduction of the maximal ideal in a d-dimensional Buchsbaum local ring of depth 1 and multiplicity 2.