• types of algebraic structures are studied. Abstract algebra is primarily the study of specific algebraic structures and their properties. Algebraic structures...
    19 KB (2,223 words) - 21:00, 23 September 2024
  • This is an outline of topics related to linear algebra, the branch of mathematics concerning linear equations and linear maps and their representations...
    5 KB (377 words) - 12:12, 30 October 2023
  • Matrix – two dimensional array of numbers Vector space – basic algebraic structure of linear algebra Field – algebraic structure with addition, multiplication...
    8 KB (428 words) - 14:21, 21 November 2024
  • Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those...
    139 KB (14,099 words) - 17:35, 21 December 2024
  • Thumbnail for Lists of mathematics topics
    and finding algebraic structures these objects may have (algebraic combinatorics). Outline of combinatorics Glossary of graph theory List of graph theory...
    21 KB (2,591 words) - 17:29, 14 November 2024
  • of view of Galois cohomology of algebraic groups, the spinor norm is a connecting homomorphism on cohomology. Writing μ2 for the algebraic group of square...
    64 KB (9,191 words) - 06:36, 4 December 2024
  • Thumbnail for Outline of academic disciplines
    Stochastic process Geometry (outline) and Topology Affine geometry Algebraic geometry Algebraic topology Convex geometry Differential topology Discrete geometry...
    66 KB (4,338 words) - 11:34, 19 December 2024
  • Boolean algebra De Morgan algebra First-order logic Heyting algebra Lindenbaum–Tarski algebra Skew Boolean algebra Algebraic normal form Boolean conjunctive...
    6 KB (271 words) - 23:18, 23 July 2024
  • Thumbnail for Boolean algebra (structure)
    In abstract algebra, a Boolean algebra or Boolean lattice is a complemented distributive lattice. This type of algebraic structure captures essential properties...
    49 KB (3,356 words) - 02:25, 17 September 2024
  • Thumbnail for Field (mathematics)
    fundamental algebraic structure which is widely used in algebra, number theory, and many other areas of mathematics. The best known fields are the field of rational...
    87 KB (10,301 words) - 00:25, 11 December 2024
  • Appendix:Glossary of abstract algebra in Wiktionary, the free dictionary. Abstract algebra is the subject area of mathematics that studies algebraic structures, such...
    12 KB (1,129 words) - 10:50, 10 October 2024
  • Thumbnail for Discrete mathematics
    function fields. Algebraic structures occur as both discrete examples and continuous examples. Discrete algebras include: Boolean algebra used in logic gates...
    26 KB (2,771 words) - 02:35, 23 December 2024
  • Commutative algebra is the branch of abstract algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry...
    4 KB (301 words) - 17:28, 20 December 2023
  • algebras appear naturally in Hamiltonian mechanics, and are also central in the study of quantum groups. Manifolds with a Poisson algebra structure are...
    6 KB (820 words) - 11:59, 4 October 2024
  • procedures for solving a wide range of problems. Data structures – The organization and manipulation of data. Outline of artificial intelligence Artificial...
    11 KB (1,036 words) - 01:41, 19 October 2024
  • given by the composition of mappings. The results obtained in the study of operator algebras are often phrased in algebraic terms, while the techniques...
    5 KB (545 words) - 13:58, 27 September 2024
  • morphism is a concept of category theory that generalizes structure-preserving maps such as homomorphism between algebraic structures, functions from a set...
    12 KB (1,499 words) - 19:52, 25 October 2024
  • Thumbnail for List of academic fields
    Stochastic process Geometry (outline) and Topology General topology Algebraic topology Geometric topology Differential topology Algebraic geometry Projective geometry...
    77 KB (4,649 words) - 00:36, 29 October 2024
  • postulate. Abstract algebra The part of algebra devoted to the study of algebraic structures in themselves. Occasionally named modern algebra in course titles...
    71 KB (7,687 words) - 05:05, 13 December 2024
  • higher-dimensional algebra is the study of categorified structures. It has applications in nonabelian algebraic topology, and generalizes abstract algebra. A first...
    17 KB (1,516 words) - 16:43, 6 December 2024
  • Thumbnail for Linear algebra
    Geometric algebra Linear programming Linear regression, a statistical estimation method Numerical linear algebra Outline of linear algebra Transformation...
    67 KB (7,983 words) - 21:05, 12 December 2024
  • Thumbnail for Coding theory
    needed] The term algebraic coding theory denotes the sub-field of coding theory where the properties of codes are expressed in algebraic terms and then...
    27 KB (3,740 words) - 03:16, 28 November 2024
  • Umbral calculus, binomial type polynomial sequences Combinatorial species Algebraic combinatorics Analytic combinatorics Arithmetic combinatorics Combinatorics...
    9 KB (683 words) - 08:34, 14 July 2024
  • 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...
    5 KB (402 words) - 15:20, 29 March 2024
  • Tannakian formalism (category Algebraic groups)
    limit of algebraic groups (pro-algebraic group), and C is then found to be equivalent to the category of finite-dimensional linear representations of G....
    7 KB (836 words) - 18:20, 16 December 2024
  • Thumbnail for Category theory
    extension of universal algebra, as the latter studies algebraic structures, and the former applies to any kind of mathematical structure and studies also the...
    34 KB (3,836 words) - 00:38, 21 December 2024
  • algebra was called modern algebra or abstract algebra, as established by the influence and works of Emmy Noether. Some types of algebraic structures have...
    159 KB (15,698 words) - 13:39, 18 December 2024
  • Direct limit (category Abstract algebra)
    limits, which are a special case of limits in category theory. We will first give the definition for algebraic structures like groups and modules, and then...
    12 KB (2,076 words) - 22:21, 26 November 2024
  • linear algebraic problems like solving linear systems of equations, locating eigenvalues, or least squares optimisation. Numerical linear algebra's central...
    18 KB (2,507 words) - 03:52, 21 December 2023
  • }}_{p}} be an algebraic closure of F p . {\displaystyle \mathbb {F} _{p}.} It is not only unique up to an isomorphism, as do all algebraic closures, but...
    45 KB (6,174 words) - 10:10, 15 December 2024