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
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
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
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) - 04:20, 16 May 2025
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
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
In abstract algebra, a Boolean algebra or Boolean lattice is a complemented distributive lattice. This type of algebraic structure captures essential properties...
49 KB (3,372 words) - 02:25, 17 September 2024
Stochastic process Geometry (outline) and Topology Affine geometry Algebraic geometry Algebraic topology Convex geometry Differential topology Discrete geometry...
65 KB (4,327 words) - 22:27, 16 February 2025
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
Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems...
138 KB (14,098 words) - 18:47, 18 May 2025
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...
65 KB (9,287 words) - 07:33, 12 May 2025
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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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
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) - 14:34, 10 May 2025
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
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 (3,893 words) - 07:51, 20 April 2025
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 (1,503 words) - 02:56, 11 May 2025
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 (2,071 words) - 05:35, 24 March 2025
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 (10,305 words) - 18:07, 14 March 2025
Seymour Lipschutz (category Courant Institute of Mathematical Sciences alumni)
Linear Algebra Schaum's Outline of Beginning Linear Algebra Schaum's Outline of Set Theory Schaum's Outline of General Topology Schaum's Outline of Data...
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the Poincaré algebra and a compact subalgebra of internal symmetries, but also contains some fermionic supercharges, transforming as a sum of N real spinor...
5 KB (726 words) - 18:54, 26 January 2024
algebra Absorption law Laws of Form De Morgan's laws Algebraic normal form Canonical form (Boolean algebra) Boolean conjunctive query Boolean-valued model...
25 KB (2,119 words) - 22:15, 10 April 2025
Geometric algebra Linear programming Linear regression, a statistical estimation method Numerical linear algebra Outline of linear algebra Transformation...
67 KB (7,974 words) - 09:17, 16 May 2025
higher-dimensional algebra is the study of categorified structures. It has applications in nonabelian algebraic topology, and generalizes abstract algebra. A first...
17 KB (1,525 words) - 16:12, 4 May 2025
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 (7,692 words) - 22:32, 2 March 2025
"information algebra" refers to mathematical techniques of information processing. Classical information theory goes back to Claude Shannon. It is a theory of information...
19 KB (2,296 words) - 12:44, 23 January 2025
spacetime algebra (STA) is the application of Clifford algebra Cl1,3(R), or equivalently the geometric algebra G(M4) to physics. Spacetime algebra provides...
48 KB (7,332 words) - 19:32, 1 May 2025
Stochastic process Geometry (outline) and Topology General topology Algebraic topology Geometric topology Differential topology Algebraic geometry Projective geometry...
77 KB (4,652 words) - 04:01, 3 May 2025
outline is provided as an overview of and topical guide to corporate finance: Corporate finance is the area of finance that deals with the sources of...
9 KB (679 words) - 10:18, 10 April 2025
Space (mathematics) (redirect from List of mathematical spaces)
often think of a "space" as more geometric and a "structure" as more algebraic. [...] So you could think of "structures" as places we do algebra, and "spaces"...
69 KB (9,328 words) - 08:51, 6 March 2025