高出来的名词 发表于 2025-3-21 19:03:04

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乏味 发表于 2025-3-21 23:38:48

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gain631 发表于 2025-3-22 06:04:47

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和平 发表于 2025-3-22 10:01:35

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带子 发表于 2025-3-22 16:51:25

Varieties of Algebras,hat . is an .-ary (or .-local) operation on ., i.e. . is a mapping from . into .. For . = 0 the mapping . simply fixes an element from . (it can be assumed that . ∈ .). For instance, a multiplicative group . with unit . and inverse element .. for . ∈ . is a universal algebra with set of operations .

行业 发表于 2025-3-22 18:34:26

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Fulminate 发表于 2025-3-23 00:45:39

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wangle 发表于 2025-3-23 04:11:25

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使饥饿 发表于 2025-3-23 07:16:25

Groups,ore, is representable in the form ./., where . is some maximal ideal. Further, as was mentioned already, ./. is a field which is finitely generated over . as an algebra. From the Hilbert Nullstellensatz follows that each element from ./. is algebraic over ., i.e. ./. is a finitely generated algebrai
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查看完整版本: Titlebook: Basic Structures of Modern Algebra; Yuri Bahturin Book 1993 Springer Science+Business Media Dordrecht 1993 Homological algebra.Vector spac