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Abstract algebra > Related Articles
From Citizendium, the Citizens' Compendium
- See also pages that link to Abstract algebra or to this page.
Contents |
Parent topics
Subtopics
Disciplines within abstract algebra
- Category theory [r]: Loosely speaking, a class of objects and a collection of morphisms which act upon them; the morphisms can be composed, the composition is associative and there are identity objects and rules of identity. [e]
- Commutative algebra [r]: Branch of mathematics studying commutative rings and related structures. [e]
- Field theory [r]: Add brief definition or description
- Galois theory [r]: Add brief definition or description
- Group theory [r]: Add brief definition or description
- Linear algebra [r]: Add brief definition or description
- Ring theory [r]: Add brief definition or description
- Universal algebra [r]: Add brief definition or description
Algebraic structures
- Field [r]: Add brief definition or description
- Group [r]: Add brief definition or description
- Lattice [r]: Add brief definition or description
- Module [r]: Add brief definition or description
- Monoid [r]: An algebraic structure with an associative binary operation and an identity element. [e]
- Ring [r]: Algebraic structure with two operations, combining an abelian group with a monoid. [e]
- Scheme [r]: Add brief definition or description
- Semigroup [r]: An algebraic structure with an associative binary operation. [e]
- Vector space [r]: Add brief definition or description
Other related topics
- Algebraic geometry [r]: Discipline of mathematics that studies the geometric properties of the objects defined by algebraic equations. [e]
- Algebraic topology [r]: Add brief definition or description
- Combinatorics [r]: Add brief definition or description
- Number theory [r]: Add brief definition or description
