A construction of Gorenstein rings
By Marco D'anna. 2006
185 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/a1bf0d2f06f03352d9ea78a9434ade1999a2136e
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In Algebra and Number Theory
- Marco Fontana
- C. Finocchiaro
- Marco D'anna
- H. Maimani
- Siamak Yassemi
- L. Avramov
- Cameron Wickham
- Thangaraj Asir
In Geometry and Topology
- Marco Fontana
- Marco D'anna
- C. Finocchiaro
- H. Maimani
- Siamak Yassemi
- L. Avramov
- Cameron Wickham
- Thangaraj Asir
Citations in the corpus
- Properties of chains of prime ideals in an amalgamated algebra along an ideal (2010, background): “This construction is a generalization of the amalgamated duplication of a ring along an ideal (introduced and studied in [9], [6], [10] and in [20]).”
- The amalgamated duplication of a ring along a multiplicative-canonical ideal (2006, background): “Moreover, in many cases, the amalgamated duplication of a ring preserves the property of being reduced (see [4] and [5]).”
- Connected sums of Gorenstein local rings (2010, background): “If I is a maximal Cohen-Macaulay module, then R ⊲⊳ I is Cohen-Macaulay: This is proved by D’Anna in [6, Discussion 10].”
- Amalgamated algebras along an ideal (2009, unknown): “closed field, X1, X2, . . ., Xr are indeterminates over K and Pi is an height r − 1 prime ideal of K[[X1, X2, . . ., Xr]], for 1 ≤ i ≤ r). If I is a regular and proper ideal of A, then, with an argument similar to that used in the proof of [ 5, Theorem 14 ] (where the case of a simple amalgamation o”
- Zero-divisor graphs of amalgamated duplication of a ring along an ideal (2007, background): “Recently, D’Anna proved that, if R is a Cohen-Macaulay local ring, then R 1 I is Gorenstein if and only if I is a canonical ideal, cf. [ 7 ], where was known for trivial extension, cf. [13].”