Blogs about: Isomorphism Theorem
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Fourth Ring Isomorphism Theorem (Lattice Isomorphism Theorem) (Pt. I)
Point of Post: In this post we discuss the notion of the fourth isomorphism theorem, but phrase it more in terms of lattices and Galois connections than is often done in most texts. Motivation The fou… more →
Abstract Nonsense
ranks and homomorphisms
wrote 3 months ago: Perhaps one of the most elegant results in linear algebra, the ‘rank theorem’ (or rank-n … more →
Comparison of group and ring theory
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wrote 1 year ago: 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)
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wrote 1 year ago: Point of Post: In this post we discuss the notion of the fourth isomorphism theorem, but phrase it m … more →
Third Ring Isomorphism Theorem
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wrote 1 year ago: Point of Post: In this post we prove the third ring isomorphism theorem which takes the form . Motiv … more →
Second Ring Isomorphism Theorem
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wrote 1 year ago: Point of Post: In this post we state and prove the second ring isomorphism theorem which takes the f … more →
First Ring Isomorphism Theorem
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wrote 1 year ago: Point of Post: In this post we give a proof of the first ring isomorphism theorem namely that . This … more →
