The Algebraic Geometry Dictionary for Beginners
نویسنده
چکیده
This paper is a simple summary of the first most basic definitions in Algebraic Geometry as they are presented in Dummit and Foote ([1]), with a focus on establishing a dictionary between algebra and geometry. In particular this dictionary helps in visualizing certain computations that take place in polynomial rings. Among these are decomposing ideals in a manner analogous to prime factorization, and determining when coordinate rings are integrally closed.
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