types of algebraic structures are studied. Abstract algebra is primarily the study of specific algebraic structures and their properties. Algebraic structures...
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This is an outline of topics related to linear algebra, the branch of mathematics concerning linear equations and linear maps and their representations...
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Matrix – two dimensional array of numbers Vector space – basic algebraic structure of linear algebra Field – algebraic structure with addition, multiplication...
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Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those...
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and finding algebraic structures these objects may have (algebraic combinatorics). Outline of combinatorics Glossary of graph theory List of graph theory...
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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
Stochastic process Geometry (outline) and Topology Affine geometry Algebraic geometry Algebraic topology Convex geometry Differential topology Discrete geometry...
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Boolean algebra De Morgan algebra First-order logic Heyting algebra Lindenbaum–Tarski algebra Skew Boolean algebra Algebraic normal form Boolean conjunctive...
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In abstract algebra, a Boolean algebra or Boolean lattice is a complemented distributive lattice. This type of algebraic structure captures essential properties...
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Field (mathematics) (redirect from Algebraic field)
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...
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Discrete mathematics (redirect from Discrete structures)
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...
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algebras appear naturally in Hamiltonian mechanics, and are also central in the study of quantum groups. Manifolds with a Poisson algebra structure are...
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procedures for solving a wide range of problems. Data structures – The organization and manipulation of data. Outline of artificial intelligence Artificial...
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given by the composition of mappings. The results obtained in the study of operator algebras are often phrased in algebraic terms, while the techniques...
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Morphism (redirect from Structure preserving mappings)
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
Stochastic process Geometry (outline) and Topology General topology Algebraic topology Geometric topology Differential topology Algebraic geometry Projective geometry...
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postulate. Abstract algebra The part of algebra devoted to the study of algebraic structures in themselves. Occasionally named modern algebra in course titles...
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higher-dimensional algebra is the study of categorified structures. It has applications in nonabelian algebraic topology, and generalizes abstract algebra. A first...
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Geometric algebra Linear programming Linear regression, a statistical estimation method Numerical linear algebra Outline of linear algebra Transformation...
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Coding theory (redirect from Algebraic 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...
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Umbral calculus, binomial type polynomial sequences Combinatorial species Algebraic combinatorics Analytic combinatorics Arithmetic combinatorics Combinatorics...
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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...
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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....
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Category theory (redirect from Categorical point of view)
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
Mathematics (redirect from Topical outline of mathematics)
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...
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linear algebraic problems like solving linear systems of equations, locating eigenvalues, or least squares optimisation. Numerical linear algebra's central...
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Finite field (section Algebraic closure)
}}_{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