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  2. Lists of mathematics topics - Wikipedia

    en.wikipedia.org/wiki/Lists_of_mathematics_topics

    Lists of mathematics topics cover a variety of topics related to mathematics. Some of these lists link to hundreds of articles; some link only to a few. The template to the right includes links to alphabetical lists of all mathematical articles. This article brings together the same content organized in a manner better suited for browsing.

  3. List of algebraic number theory topics - Wikipedia

    en.wikipedia.org/wiki/List_of_algebraic_number...

    1 Basic topics. 2 Important problems. 3 General aspects. 4 Class field theory. 5 Iwasawa theory. 6 Arithmetic geometry. ... This page was last edited on 29 June 2024, ...

  4. Higher category theory - Wikipedia

    en.wikipedia.org/wiki/Higher_category_theory

    A 2-category generalizes this by also including 2-morphisms between the 1-morphisms. Continuing this up to n -morphisms between ( n − 1)-morphisms gives an n -category . Just as the category known as Cat , which is the category of small categories and functors is actually a 2-category with natural transformations as its 2-morphisms , the ...

  5. Outline of category theory - Wikipedia

    en.wikipedia.org/wiki/Outline_of_category_theory

    The following outline is provided as an overview of and guide to category theory, the area of study in mathematics that examines in an abstract way the properties of particular mathematical concepts, by formalising them as collections of objects and arrows (also called morphisms, although this term also has a specific, non category-theoretical sense), where these collections satisfy certain ...

  6. List of abstract algebra topics - Wikipedia

    en.wikipedia.org/.../List_of_abstract_algebra_topics

    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 ...

  7. Category:Algebra - Wikipedia

    en.wikipedia.org/wiki/Category:Algebra

    Algebra (from Arabic: الجبر, romanized: al-jabr, lit. 'reunion of broken parts, bonesetting') is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols. The following category includes articles about algebra.