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Mathematics
Linear and Abstract Algebra
Affine Algebraic Sets - General Question
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[QUOTE="Math Amateur, post: 5501279, member: 203675"] I am trying to gain an understanding of the basics of elementary algebraic geometry and am reading Dummit and Foote Chapter 15: Commutative Rings and Algebraic Geometry ... At present I am focused on Section 15.1 Noetherian Rings and Affine Algebraic Sets ... ... I am trying to gain a full understanding of the nature of affine algebraic sets ... If we take an arbitrary subset A of affine space ##\mathbb{A}^n## ... how can we determine whether A is an affine algebraic set ... ? Are they any methodical approaches ... ? Do we just have to creatively come up with a polynomial or set of polynomials whose set of zeros equals A? Any clarifying comments are welcome ... Peter [/QUOTE]
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Affine Algebraic Sets - General Question
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