#AbstractAlgebra

Some structures in mathematics feel almost… cosmic. Sometimes the deepest patterns in computation… start with simple modular arithmetic. #Math #AbstractAlgebra #GroupTheory #AI #Computing

➕ Why do the complex numbers form an abelian group under addition? Starting from (a, b) + (c, d) = (a + c, b + d), we check closure, associativity, identity, inverses and commutativity. 🧩 #ComplexNumbers #GroupTheory #AbstractAlgebra

Évariste Galois was born today in 1811. Archfamous mathematician, partly for his peculiar death in a duel at the age of 20, but mostly for revolutionizing the study of #AbstractAlgebra with the pioneering both #GroupTheory and the theory named after him, #GaloisTheory #MathType

Bézout's Identity was proven in the 18th century. Many, much older, results in elementary #NumberTheory like Euclid's Lemma or the Chinese Remainder Theorem can be proven from it and it is now a powerful tool in #AbstractAlgebra #MathType

Chinese Remainder Theorem: 23 solves this system. ALL solutions are x = 23 + 105k, with k any integer. Full lessons + live Q&A with Professor Woody. 7-day FREE trial: #NumberTheory #AbstractAlgebra

Évariste Galois was born today in 1811. Archfamous mathematician, partly for his peculiar death in a duel at the age of 20, but mostly for revolutionizing the study of #AbstractAlgebra with the pioneering both #GroupTheory and the theory named after him, #GaloisTheory #MathType

"I am convinced that rings first really works for Abstract Algebra." Beth Malmskog provides a breakdown of the her #AbstractAlgebra course--the text, the best and worst parts about covering rings first, and what she'd do differently next time

Chinese Remainder Theorem: 23 solves this system. ALL solutions are x = 23 + 105k, with k any integer. Full lessons + live Q&A with Professor Woody. 7-day FREE trial: #NumberTheory #AbstractAlgebra

Abstract Algebra: one new root, but degree TWO? Q(√2) has basis {1, √2} over Q. That’s why [Q(√2):Q] = 2. Full course in Woody Calculus Mastery Lab. Start 7 days FREE; then $89 PER MONTH: #AbstractAlgebra #FieldExtensions

GROUP THEORY LECTURE - 04 - Free DEMO Class with Dubey Sir Watch Live: #democlass #GroupTheory #abstractalgebra #csirnetmath #csirnet #mathematics #netjrf2021 #netmath #grouptheoryclass #StrongerTogether

Emmy Noether is known for connecting the fields of math and physics as well as inventing #AbstractAlgebra:

I have no idea how to determine the number of ring homomorphisms #AbstractAlgebra

Sum-free multiplicative group mod p can be arbitrarily large #GroupTheory #AbstractAlgebra #ModularArithmetic #Algebra #Polynomial #NumberTheory

Bounty offered: Kloosterman sums in $\mathbb{Z}_{(p)}$ #abstractalgebra

Not gon flex. The parallels between irreducible polynomials and prime numbers is hella interesting.

Clearly I’m in class lol #abstractalgebra

How to Self Study Abstract Algebra There are three big parts of mathematics: geometry, analysis and #abstractalgebra

A new Kindle book on Amazon. #AI #AbstractAlgebra

Bounty offered: Is there an example of a Baer ring $R$ for which $R/J(R)$ is not Baer? #abstractalgebra

When students learn how to simplify expressions with just variables (say x) it also seems like an opportune time to introduce arithmetic in F[x]. No? #AbstractAlgebra

Bounty offered: Question about $\operatorname{Aut}(S_6)$ and $\operatorname{Aut}(A_6)$ #abstractalgebra