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Algebra

Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.

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Overview

Definition and etymology

Major branches

History

Applications

Education

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Map overview Semantic statistics

Algebra

Nodes268
Edges267
Triples98
Avg. degree1.99
Density0.007463
Components1

How this topic connects Entity context

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Algebra

Top relations

related to history · 29
Algebra → Arab, Arabic, Arithmetica, Babylonia, Babylonian, BCE, CE, China, Diophantus, Diophantus's, Egypt, Euclid's Elements, For, Greece, Greeks, He, In, India, It, Many
related to Education · 12
Algebra → An, For, Given, Instead, It, Naomi, Naomi's, One, Solving, Some, The, Word
related to Abstract algebra · 8
Algebra → Abstract, An, For, In, Its, On, The, While
has application · 7
Algebra → Algebraic, For, It, Of, One, The, Topology
related to Definition and etymology · 7
Algebra → An, Arithmetic, Elementary, It, Like, Universal, Within
related to Linear algebra · 6
Algebra → An, AX, Examples, For, Linear, Matrices
is a · 5
Algebra → branch of mathematics that deals with abstract systems, closely related field that investigates linear equations and combinations of them called systems of linear equations, main form of algebra taught in schools, specific type of algebraic structure that involves a vector space equipped with a certain type of binary operation, study of algebraic structures in general
see also · 5
Algebra → Algebraic, Branch, Commutative, Function, Scientific
related to Elementary algebra · 4
Algebra → Arithmetic, Elementary, For, It

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Important terminology

algebraic equations displaystyle operations structures variables one equation example linear abstract theory addition set mathematical numbers two systems like general

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Algebrais abranch of mathematics that deals with abstract systems0.90text
Algebrais amain form of algebra taught in schools0.90text
Algebrais aclosely related field that investigates linear equations and combinations of them called systems of linear equations0.90text
Algebrais aspecific type of algebraic structure that involves a vector space equipped with a certain type of binary operation0.90text
Algebrais astudy of algebraic structures in general0.90text
groupsinstance ofwhich is not limited to a particular domain and examines algebraic structures0.80text
ringsinstance ofwhich is not limited to a particular domain and examines algebraic structures0.80text
the less-than signinstance ofThis can be expressed using symbols0.80text
the fundamental theorem of finite abelian groupsinstance ofwith basic theorems0.80text
the Feitinstance ofwith basic theorems0.80text
subringsinstance ofexploring concepts0.80text
quotient ringsinstance ofexploring concepts0.80text

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