birkhoff's theorem from a geometric perspective: a simple example

نویسندگان

f. william lawvere

چکیده

‎from hilbert's theorem of zeroes‎, ‎and from noether's ideal theory‎, ‎birkhoff derived certain algebraic concepts (as explained by tholen) that have a dual significance in general toposes‎, ‎similar to their role in the original examples of algebraic geometry‎. ‎i will describe a simple example that illustrates some of the aspects of this relationship‎. the dualization from algebra to geometry in the basic grothendieck spirit can be accomplished (without intervention of topological spaces) by the following method‎, ‎known as isbell conjugacy.

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Birkhoff's Theorem from a geometric perspective: A simple example

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عنوان ژورنال:
categories and general algebraic structures with applications

ناشر: shahid beheshti university

ISSN 2345-5853

دوره 4

شماره 1 2015

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