elastic 发表于 2025-3-23 10:40:49

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incubus 发表于 2025-3-23 17:45:40

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额外的事 发表于 2025-3-23 20:41:55

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割公牛膨胀 发表于 2025-3-24 01:43:02

Semantik und Argumentstrukturen root of a polynomial .(.) ∈ .[.] which factors in .[.] into distinct linear factors. The . Gal[. : .] of that extension is the group of all field endomorphisms (and thus automorphisms) of . which fix all the elements of .. The Galois theorem exhibits a bijection between the subgroups of the Galois

alabaster 发表于 2025-3-24 03:27:50

Sprache im Kontext des Mathematiklernensal 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

d-limonene 发表于 2025-3-24 07:45:26

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消散 发表于 2025-3-24 14:09:58

,Einführung von Sprachportalen,r 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

BINGE 发表于 2025-3-24 15:55:59

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Facilities 发表于 2025-3-24 20:08:28

,Einführung in die Spracherkennung,set of (iso)morphisms. The Galois theory of rings will use a Galois groupoid, with possibly several objects, instead of a group. A profinite groupoid will be one whose set of objects and set of morphisms are profinite spaces, while all operations are continuous. The notion of profinite presheaf on a

RUPT 发表于 2025-3-25 01:20:03

Programmieren von Mikrocomputern.-modules is always monadic over the category of .-modules: this implies that we can view an .-module as being an .-module with an additional structure. The morphism σ: . → . of rings is a morphism of . when, moreover, the category of .-modules is co-monadic over the category of .-modules; in that c
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