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楼主: 难受
发表于 2025-3-26 23:48:50 | 显示全部楼层
Programmieren von Mikrocomputernase, each .-module can thus also be seen as an .-module with an additional structure. We prove that the effective descent morphisms of rings are exactly the . ones: the injective morphisms, which remain injective when tensored with whatever .-module. The descent theorem for rings implies an analogous result for algebras.
发表于 2025-3-27 01:59:03 | 显示全部楼层
发表于 2025-3-27 09:19:19 | 显示全部楼层
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Aspekte der Metapher in der Neuzeit,uivalence of categories between the category of profinite spaces and that of Boolean algebras. This link will make it possible to combine algebraic and topological aspects in the infinite-dimensional Galois theory of fields, but also in the Galois theory of rings.
发表于 2025-3-27 19:15:46 | 显示全部楼层
发表于 2025-3-28 01:54:11 | 显示全部楼层
The Galois Theorem of Grothendieckhe quotients of Gal[. : .], which is finite and viewed here as acting on itself. It is a classical result of the theory of group actions that these quotients are themselves in bijection with the subgroups of Gal[. : .].
发表于 2025-3-28 04:13:22 | 显示全部楼层
Profinite Topological Spacesuivalence of categories between the category of profinite spaces and that of Boolean algebras. This link will make it possible to combine algebraic and topological aspects in the infinite-dimensional Galois theory of fields, but also in the Galois theory of rings.
发表于 2025-3-28 09:53:07 | 显示全部楼层
发表于 2025-3-28 11:20:08 | 显示全部楼层
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