#### ranks and homomorphisms

: Perhaps one of the most elegant results in linear algebra, the ‘rank theorem’ (or rank-n … more →

Tags: Linear Algebra

#### Comparison of group and ring theory — 2 comments

: Yet again, I’m unable to sleep. Is there any notion (which we could make reasonably precise) o … more →

#### Fourth Ring Isomorphism Theorem (Lattice Isomorphism Theorem) (Pt. I) — 5 comments

: Point of Post: In this post we discuss the notion of the fourth isomorphism theorem, but phrase it m … more →

#### Third Ring Isomorphism Theorem — 2 comments

: Point of Post: In this post we prove the third ring isomorphism theorem which takes the form . Motiv … more →

#### Second Ring Isomorphism Theorem — 2 comments

: Point of Post: In this post we state and prove the second ring isomorphism theorem which takes the f … more →

#### First Ring Isomorphism Theorem — 13 comments

: Point of Post: In this post we give a proof of the first ring isomorphism theorem namely that . This … more →

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