Titlebook: Commutative Algebra, Singularities and Computer Algebra; Proceedings of the N Jürgen Herzog,Victor Vuletescu Conference proceedings 2003 Sp

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978-1-4020-1487-1Springer Science+Business Media Dordrecht 2003

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NATO Science Series II: Mathematics, Physics and Chemistryhttp://image.papertrans.cn/c/image/230755.jpg

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Modules of G-Dimension Zero over Local Rings with the Cube of Maximal Ideal Being Zero,onstruct a family of non- isomorphic indecomposable modules of G-dimension zero with parameters in an open subset of pro- jective space. We shall finally show that the subcategory consisting of modules of G-dimension zero over . is not necessarily a contravariantly finite subcategory in the category of finitely generated .-modules.

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https://doi.org/10.1057/9780230598423ent for calculating Gröbner basis in several situations: commutative and non-commutative algebras, modules over them..Besides Gröbner bases it provides some facilities to calculate appropriate invariants of the algebras and modules, such as the Hilbert series, and (in the non-commutative case only),

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https://doi.org/10.1057/9780230598423lds of characteristic 0. We also present some applications of this theory. We discuss our generalization of the classical theory of ramification of local Dedekind domains to general valuations, which is joint work with Olivier Piltant.

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https://doi.org/10.1057/9780230598423ups of affine complex hyperplane arrangement complements is introduced and explored..This approach gives in particular new upper-bounds for the dimension of the twisted cohomology groups of line arrangement complements in the complex affine plane.

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