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Titlebook: Computational Linear and Commutative Algebra; Martin Kreuzer,Lorenzo Robbiano Textbook 2016 Springer International Publishing Switzerland

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楼主: chondrocyte
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Zero-Dimensional Affine Algebras,ty theorem for ℱ yields a characterization of the Gorenstein property of . via the cyclicity of the canonical module. The chapter is rounded off by a proof that the generic linear form has maximal nilpotency in the local case, and by algorithms for checking the Cayley-Bacharach property of ..
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Families of Commuting Endomorphisms,ized eigenspaces. Moreover, we study splitting endomorphisms, i.e., endomorphisms defined by the condition that their eigenfactors correspond 1–1 to the eigenspaces of ℱ. Finally, simultaneous diagonalization and trigonalization of commuting families are covered.
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https://doi.org/10.1007/978-3-8350-9596-0ized eigenspaces. Moreover, we study splitting endomorphisms, i.e., endomorphisms defined by the condition that their eigenfactors correspond 1–1 to the eigenspaces of ℱ. Finally, simultaneous diagonalization and trigonalization of commuting families are covered.
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https://doi.org/10.1007/978-3-8350-9596-0e fields, repeated factorization over field extensions, the calculation of the maximal components from the radical ideal, and the computation of the primary components from the maximal components. The chapter finishes with some recent insights into the calculation of the separable subalgebra.
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