Questions tagged [bourbaki]
for questions related to the Bourbaki group of mathematicians, its history, philosophy, works and impact
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Greatly expanded new edition of a Bourbaki chapter on algebra?
Recently I discovered by accident that Bourbaki issued in 2012 a radically expanded version of their 1958 Chapter 8 Modules et anneaux semi-simples (like other chapters, initially in French) within ...
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Why did Bourbaki not use universal algebra?
I have seen a discussion about Bourbaki’s usage of categories before. So let me ask a different question: why did he not use universal algebra?
Well, universal algebra is not much older than category ...
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Bar notation in Bourbaki’s *Lie groups*, Chap. IX
I am looking at Chapter IX (Compact Real Lie Groups), §4, Exercise 8 (translation). Given a complex subspace $\mathfrak p$ in the complexification $\mathfrak g_{\mathbf C}$ of some $\mathfrak g$, they ...
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Noether’s “set theoretic foundations” of algebra. Reference
In [C Mclarty] we read
[Noether] project was to get abstract algebra away from thinking about operations on elements, such as addition or multiplication of elements in groups or rings. Her algebra ...
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Regarding a proof in Bourbaki's Topological Vector Spaces
On Bourbaki's TVS Chapter IV pages 33-34, the last part of Proposition 2 can be formulated as follows:
Notations:
$K$ - The underlying field which is the real or complex number field;
$X$ - A ...