WebMay 11, 2024 · I would recommend: (1) Firstly, one should study field theory and Galois theory fairly thoroughly. The main reasons are: a. Fields are the best understood examples of commutative rings from an ideal-theoretic point of view (a field has exactly two ideals) and field theory often motivates many important concepts in commutative algebra, e.g., … WebApr 23, 2024 · “Bosch (Wilhelms Univ., Westphalia, Germany) offers an introduction to scheme-theoretic algebraic geometry preceded by an extended treatment of the prerequisite commutative algebra. … this is a useful, self-contained work for those interested in studying the modern approach to the subject.
reference request - Comprehensive and self-contained treatment …
WebMay 28, 2016 · I think your assumptions are wrong (not that it is important for the issues). Arguably, one of the first books on commutative algebra was written by Zariski and Samuel with the explicit intention of codifying the algebra necessary for their work in algebraic geometry. It still is one of the deepest books in the field, though not easy to read. horse items websites
Algebraic Geometry and Commutative Algebra (Universitext)
WebThe first part covers the basics of commutative algebra as a prerequisite for the second part, devoted to the category of schemes. The first part of the book, chapters one to five … Web“Bosch (Wilhelms Univ., Westphalia, Germany) offers an introduction to scheme-theoretic algebraic geometry preceded by an extended treatment of the prerequisite commutative … Given a module E over a ring R, the process ⋅⊗ R E of taking tensor … WebSep 8, 2024 · Algebraic geometry is a fascinating branch of mathematics that combines methods from both, algebra and geometry. It transcends the limited. Siegfried Bosch. Algebraic Geometry and. Commutative … horse itching butt