A bottom-up approach to Hilbert's Basis Theorem

التفاصيل البيبلوغرافية
العنوان: A bottom-up approach to Hilbert's Basis Theorem
المؤلفون: Maliar, Marc
سنة النشر: 2021
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Geometry
الوصف: In this expositional paper, we discuss commutative algebra -- a study inspired by the properties of integers, rational numbers, and real numbers. In particular, we investigate rings and ideals, and their various properties. After, we introduce the polynomial ring and the fundamental relationship between polynomials and sets of points. We prove some results in algebraic geometry, notably Hilbert's Basis Theorem.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2110.08958
رقم الأكسشن: edsarx.2110.08958
قاعدة البيانات: arXiv