Parts of reducing systems of parameters.

Mäurer, Björn; Stückrad, Jürgen

Displaying similar documents to “Parts of reducing systems of parameters.”

Representation theory of two-dimensionalbrauer graph rings

Wolfgang Rump (2000)

Colloquium Mathematicae

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We consider a class of two-dimensional non-commutative Cohen-Macaulay rings to which a Brauer graph, that is, a finite graph endowed with a cyclic ordering of edges at any vertex, can be associated in a natural way. Some orders Λ over a two-dimensional regular local ring are of this type. They arise, e.g., as certain blocks of Hecke algebras over the completion of $ℤ [q, q^{- 1}]$ at (p,q-1) for some rational prime $p$ . For such orders Λ, a class of indecomposable maximal Cohen-Macaulay modules (see...

A note on the computation of multiplicities.

Bod̆a, Eduard, Schenzel, Peter (2004)

Beiträge zur Algebra und Geometrie

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On a theorem of F. S. Macaulay on colon ideals.

Verma, J.K. (2002)

Beiträge zur Algebra und Geometrie

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Cohen-Macaulay modules over two-dimensional graph orders

Klaus Roggenkamp (1999)

Colloquium Mathematicae

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For a split graph order ℒ over a complete local regular domain $𝒪$ of dimension 2 the indecomposable Cohen-Macaulay modules decompose - up to irreducible projectives - into a union of the indecomposable Cohen-Macaulay modules over graph orders of type •—• . There, the Cohen-Macaulay modules filtered by irreducible Cohen-Macaulay modules are in bijection to the homomorphisms $ϕ : 𝒪 L^{(μ)} \to 𝒪 L^{(ν)}$ under the bi-action of the groups $(G l (μ, 𝒪 L), G l (ν, 𝒪 L))$ , where $𝒪 L = 𝒪 / 〈 π 〉$ for a prime π. This problem strongly depends on the nature of $𝒪 L$ . If...