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Martin Kreuzer,Lorenzo RobbianoMost of the material is not yet available in book form.Combines linear and commutative algebra in a novel, unified way.Every chapter starts with a lively and humorous introduction to the topic.Followsvisual-cortex 发表于 2025-3-22 14:55:32
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https://doi.org/10.1007/978-3-8350-9596-0tive subalgebra of the ring of the .-endomorphisms of .. Given an ideal . in ℱ, the kernel of . is the intersection of the kernels of all endomorphisms in .. Now it turns out that the joint eigenspaces of ℱ are precisely the kernels of its maximal ideals, and . is the direct sum of the joint general巧思 发表于 2025-3-23 04:42:02
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https://doi.org/10.1007/978-3-8350-9596-0zero-dimensional affine algebra . over a field ., the multiplication endomorphisms define a commuting family ℱ, called the multiplication family. Via the natural isomorphism between . and ℱ, we get a number of interesting connections: the joint generalized eigenspaces of ℱ are the local factors of .