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書目名稱Galois Theories of Fields and Rings影響因子(影響力)




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The Galois Theorem of Grothendieckal Galois extension of fields, a finite-dimensional .-algebra . is split by . when each element . ∈ . is a root of a polynomial .(.) ∈ .[.] which factors in .[.] into distinct linear factors. The corresponding Galois theorem exhibits a contravariant equivalence between the category of finite-dimensi

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Profinite Topological Spacestructures on the algebraic ones. These topological aspects do not appear explicitly in the finite-dimensional cases, just because the topologies involved are then discrete. The aim of the present chapter is to develop the useful topological ingredients in view of proving infinite-dimensional Galois

Instinctive

The Galois Theorems in Arbitrary Dimensionr a field. This is a first step towards a Galois theory for rings, where the polynomial approach fails to work. The present chapter develops a second important step in the same direction: getting rid of the notion of dimension, which does not naturally make sense in the case of rings. We thus genera

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