The Group Algebra of A Finite Group and Maschke's Theorem
In this post we give several forms of Masher's theorem by studying group algebra, which eventually becomes a study of semisimple rings. One can consider this post a chaotic evil introduction to representation theory or something.
The Group Algebra of A Finite Group and Maschke's Theorem
Why Does a Vector Space Have a Basis (Module Theory)
Why Does a Vector Space Have a Basis (Module Theory)
The Big Three Pt. 1 - Baire Category Theorem Explained
The Big Three Pt. 1 - Baire Category Theorem Explained