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Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras. The phrase abstract algebra was coined at the turn of the 20th century to distinguish this area from what was normally referred to as algebra, the study of the rules for manipulating formulae and algebraic expressions involving unknowns and real or complex numbers, often now called elementary algebra. The distinction is rarely made in more recent writings.

Attributes	Values
rdf:type	place
rdfs:label	قائمة مواضيع الجبر التجريدي (ar) Daftar topik aljabar abstrak (in) List of abstract algebra topics (en)
rdfs:comment	الجبر التجريدي هو الفرع من الرياضيات الذي يدرس مختلف البُنى الجبرية. (ar) Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras. The phrase abstract algebra was coined at the turn of the 20th century to distinguish this area from what was normally referred to as algebra, the study of the rules for manipulating formulae and algebraic expressions involving unknowns and real or complex numbers, often now called elementary algebra. The distinction is rarely made in more recent writings. (en)
dcterms:subject	Abstract algebra Mathematics-related lists Outlines of mathematics and logic Wikipedia outlines
Wikipage page ID	352181 (xsd:integer)
Wikipage revision ID	1107366567 (xsd:integer)
Link from a Wikipage to another Wikipage	Presentation of a group Prime ideal Principal ideal Principal ideal domain Projective representation Endomorphism ring Epimorphism List of commutative algebra topics Module (mathematics) Monoid (category theory) Monomorphism Multiplicative group Monoid factorisation Monoid ring Monoidal category Prime ring Primitive ideal Primitive ring Semiprime ring Bialgebra Derived group Algebra homomorphism Algebra over a field Algebra representation Algebraic closure Algebraic extension Algebraic number field Algebraic structure Algebraically closed field Algebraically compact module Homomorphism Hurwitz quaternion Jordan algebra Jordan–Hölder theorem List of linear algebra topics Ring epimorphism Ring isomorphism Ring monomorphism Burnside's problem Unit (ring theory) Vector space Dedekind domain Dedekind group Indecomposable module Injective hull Injective module Integral domain Inverse Galois problem Inverse semigroup Jacobson radical Universal algebra Levitzky's theorem Lie algebra representation List of homological algebra topics List of representation theory topics Isomorphism theorem Multiplicative inverse Projective cover Quotient ring Point group Trivial group Prüfer domain Quaternions Commutative property Complex number Conjugate closure Conjugate element (field theory) Coset Maschke's theorem Mathematics Noetherian ring Normal subgroup Simple group Subring Pure submodule Quasigroup Quotient group Quotient module Clifford algebra Elementary algebra Galois theory Gaussian integer Glossary of group theory Glossary of ring theory Graded algebra Monoid Morita equivalence Congruence relation

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