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

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The soft- landers and orbiters,We present here some of our (often shared) work on Castelnuovo-Mumford regularity, give few applications to Gröbner basis theory and show some examples.
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https://doi.org/10.1007/978-1-349-08553-8We describe, by matrix factorizations, the rank one graded maximal Cohen-Macaulay modules over the hypersurface ...+...+ ... + ....
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The Dawn of Soviet Influence in EgyptThe universal Gröbner basis of a zero-dimensional lattice ideal arising in the algebraic study of a family of integer programs associated with the incidence matrix of a finite graph will be described explicitly.
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https://doi.org/10.1007/978-1-349-07661-1We prove a result connecting the torsion-freeness of the symmetric powers and the flatness of an algebra over a noetherian ring containing ℚ.
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https://doi.org/10.1007/978-1-349-07661-1 It is briefly explained how to characterize the class of finite solvable groups by 2-variable identities, a result obtained by T. Bandman, G.-M. Greuel, R Grunewald, B. Kunyavski, E.Plotkin, and the author. The description uses algebraic gemetry (the Hasse-Weil Theorem) and computer algebra (Groebner basis)
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