Algebra - All Algebra | Mathematics Atlas

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Era Of Emergence

825 1

All Algebra

89 entries

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1. Wikipedia: Algebra

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Quote, History section

This changed with the Persian mathematician Al-Khwarizmi, who published his The Compendious Book on Calculation by Completion and Balancing in 825 CE. Al-Khwarizmi provided the first analytical theory for solving equations by classifying them into six standard forms and offering systematic, step-by-step procedures for their solutions.

Abel-Ruffini Theorem

Ado's Theorem

Alexander-Hirschowitz Theorem

Amitsur-Levitzki Theorem

Artin-Rees Lemma

Artin-Schreier Theorem

Artin-Wedderburn Theorem

Ax-Grothendieck Theorem

Binet-Cauchy Identity

Binomial Theorem

Budan's Theorem

Burnside's Theorem

Candido's Identity

Cartan-Dieudonne Theorem

Cauchy-Binet Formula

Cauchy's Theorem (Group Theory)

Cayley-Hamilton Theorem

Cayley's Theorem

Classification of Finite Simple Groups

Commutative Diagram

Commutator Subgroup

Completing the Square

Complex Conjugate Root Theorem

Cramer's Rule

De Moivre's Formula

Descartes' Rule of Signs

Difference of Two Squares

Dimension Theorem for Vector Spaces

Eisenstein's Criterion

Elementary Symmetric Polynomial

Feit-Thompson Theorem

Frobenius Reciprocity Theorem

Frobenius Theorem on Division Algebras

Fundamental Theorem of Algebra

Fundamental Theorem of Galois Theory

Gamas's Theorem

Gauss's Lemma (Polynomials)

Gershgorin Circle Theorem

Going-Up and Going-Down Theorems

Higman's Embedding Theorem

Hilbert's Basis Theorem

Hilbert's Nullstellensatz

Hilbert's Syzygy Theorem

Hilbert's Theorem 90

Jacobson Density Theorem

Jordan Normal Form Theorem

Jordan-Holder Theorem

Kostant's Convexity Theorem

Krull-Akizuki Theorem

Krull's Principal Ideal Theorem

Krull's Theorem

Krull-Schmidt Theorem

Lagrange's Theorem (Group Theory)

Lasker-Noether Theorem

Levi Decomposition Theorem

Lie-Kolchin Theorem

Lie's Theorem

Linton's Theorem (Equational Theory)

Maschke's Theorem

Motzkin-Taussky Theorem

Nakayama's Lemma

Newton's Identities

Nielsen-Schreier Theorem

Noether Normalization Lemma

Noether's Isomorphism Theorems

Perron-Frobenius Theorem

Peter-Weyl Theorem

Poincare-Birkhoff-Witt Theorem

Primitive Element Theorem

Principal Axis Theorem

Rank-Nullity Theorem

Rational Root Theorem

Rouche-Capelli Theorem

Schur's Lemma (Representation Theory)

Skolem-Noether Theorem

Specht's Theorem

Spectral Theorem

Steinitz Exchange Lemma

Structure Theorem for Finitely Generated Modules over a Principal Ideal Domain

Sturm's Theorem