types of algebraic structures are studied. Abstract algebra is primarily the study of specific algebraic structures and their properties. Algebraic structures...

This is an outline of topics related to linear algebra, the branch of mathematics concerning linear equations and linear maps and their representations...

Matrix – two dimensional array of numbers Vector space – basic algebraic structure of linear algebra Field – algebraic structure with addition, multiplication...

Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those...

and finding algebraic structures these objects may have (algebraic combinatorics). Outline of combinatorics Glossary of graph theory List of graph theory...

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...

Boolean algebra De Morgan algebra First-order logic Heyting algebra Lindenbaum–Tarski algebra Skew Boolean algebra Algebraic normal form Boolean conjunctive...

Stochastic process Geometry (outline) and Topology Affine geometry Algebraic geometry Algebraic topology Convex geometry Differential topology Discrete geometry...

In abstract algebra, a Boolean algebra or Boolean lattice is a complemented distributive lattice. This type of algebraic structure captures essential properties...

function fields. Algebraic structures occur as both discrete examples and continuous examples. Discrete algebras include: Boolean algebra used in logic gates...

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...

Appendix:Glossary of abstract algebra in Wiktionary, the free dictionary. Abstract algebra is the subject area of mathematics that studies algebraic structures, such...

Commutative algebra is the branch of abstract algebra that studies commutative rings, their ideals, and modules over such rings. Both algebraic geometry...

algebras appear naturally in Hamiltonian mechanics, and are also central in the study of quantum groups. Manifolds with a Poisson algebra structure are...

procedures for solving a wide range of problems. Data structures – The organization and manipulation of data. Outline of artificial intelligence Artificial...

given by the composition of mappings. The results obtained in the study of operator algebras are often phrased in algebraic terms, while the techniques...

Stochastic process Geometry (outline) and Topology General topology Algebraic topology Geometric topology Differential topology Algebraic geometry Projective geometry...

morphism is a concept of category theory that generalizes structure-preserving maps such as homomorphism between algebraic structures, functions from a set...

postulate. Abstract algebra The part of algebra devoted to the study of algebraic structures in themselves. Occasionally named modern algebra in course titles...

Geometric algebra Linear programming Linear regression, a statistical estimation method Numerical linear algebra Outline of linear algebra Transformation...

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...

higher-dimensional algebra is the study of categorified structures. It has applications in nonabelian algebraic topology, and generalizes abstract algebra. A first...

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...

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....

extension of universal algebra, as the latter studies algebraic structures, and the former applies to any kind of mathematical structure and studies also the...

Umbral calculus, binomial type polynomial sequences Combinatorial species Algebraic combinatorics Analytic combinatorics Arithmetic combinatorics Combinatorics...

areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes...

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...

and abstract algebra, group theory studies the algebraic structures known as groups. The concept of a group is central to abstract algebra: other well-known...

algebra. It turned out that questions about the complexity of CSPs translate into important universal-algebraic questions about underlying algebras....