Abstract algebra/Related Articles
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- See also changes related to Abstract algebra, or pages that link to Abstract algebra or to this page or whose text contains "Abstract algebra".
Parent topics
Subtopics
- 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]
- Field theory (mathematics) [r]: A subdiscipline of abstract algebra that studies fields, which are mathematical constructs that generalize on the familiar concepts of real number arithmetic. [e]
- Galois theory [r]: Algebra concerned with the relation between solutions of a polynomial equation and the fields containing those solutions. [e]
Algebraic structures
- Group (mathematics) [r]: Set with a binary associative operation such that the operation admits an identity element and each element of the set has an inverse element for the operation. [e]
- Module [r]: Mathematical structure of which abelian groups and vector spaces are particular types. [e]
- Ring (mathematics) [r]: Algebraic structure with two operations, combining an abelian group with a monoid. [e]
- Scheme (mathematics) [r]: Topological space together with commutative rings for all its open sets, which arises from 'glueing together' spectra (spaces of prime ideals) of commutative rings. [e]
- Algebraic geometry [r]: Discipline of mathematics that studies the geometric properties of the objects defined by algebraic equations. [e]