Can I read Algebra II: Lecture Notes 2 on EtoBox?

Algebra II: Lecture Notes 2 by Prof. Michael Artin is a nonfiction available to read on EtoBox.

What is Algebra II: Lecture Notes 2 about?

Representations Introduction What is a Representation? Examples of Representations Linear Representations Characters and The Direct Sum Review Characters Direct Sums Irreducible Representations Irreducible Representations Review Examples Invariant Complements Maschke's Theorem The Main Theorem More on Maschke's Theorem More on Characters The Main Theorem Characters and Schur's Lemma Review Character Tables Schur's Lemma Orthonormality of Characters Review: Schur's Lemma An Implication of Schur's Lemma Matrices and a New Representation Orthonormality of Characters Proof of the Main Theorem Review: Orthonormality of Characters The Regular Representation Span of Irreducible Characters Generalizations to Compact Groups Rings What is a Ring? Zero and Inverses Homomorphisms Ideals Building New Rings Review Product Rings Adjoining Elements to a Ring Polynomial Rings Ideals in Polynomial Rings Ideals in a Field Polynomial Rings over a Field Maximal Ideals Ideals in Multivariate Polynomial Rings More About Rings Review: Hilbert's Nullstelensatz Inverting Elements Factorization Factorization in Rings Review Euclidean Domains Polynomial Rings Greatest Common Divisors Gauss's Lemma More Factor

Who reads Algebra II: Lecture Notes 2?

Author

Prof. Michael Artin

Publisher

Massachusetts Institute of Technology (MIT)

Published

2022

Language

EN

Category

nonfiction

Subjects

Mathematics, Algebra, Stem