List of algebraic constructions information

An algebraic construction is a method by which an algebraic entity is defined or derived from another. Instances include: Cayley–Dickson construction Proj...

that constructions can be proved to be exactly correct. The ancient Greek mathematicians first attempted straightedge-and-compass constructions, and they...

to combine algebraic objects of the same type to produce a third object of the same type. These constructions are used throughout algebra. Direct sum...

theory, an algebraic data type (ADT) is a kind of composite type, i.e., a type formed by combining other types. Two common classes of algebraic types are...

Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems...

example, noncommutative algebraic geometry is supposed to extend a notion of an algebraic scheme by suitable gluing of spectra of noncommutative rings;...

Algebraic varieties are the central objects of study in algebraic geometry, a sub-field of mathematics. Classically, an algebraic variety is defined as...

modules over such rings. Both algebraic geometry and algebraic number theory build on commutative algebra. Prominent examples of commutative rings include...

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

properties and constructions that are similar for various structures. Universal algebra is a related subject that studies types of algebraic structures as...

This is a list of algebraic topology topics. Simplex Simplicial complex Polytope Triangulation Barycentric subdivision Simplicial approximation theorem...

Universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ("models") of algebraic...

of the oldest mathematical sciences. Absolute geometry Affine geometry Algebraic geometry Analytic geometry Birational geometry Complex geometry Combinatorial...

study of spaces such as complex manifolds and complex algebraic varieties, functions of several complex variables, and holomorphic constructions such as...

mathematics, if L is an extension field of K, then an element a of L is called an algebraic element over K, or just algebraic over K, if there exists some non-zero...

Linear algebra is the branch of mathematics concerning linear equations such as: a 1 x 1 + ⋯ + a n x n = b , {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b...

algebra, an adelic algebraic group is a semitopological group defined by an algebraic group G over a number field K, and the adele ring A = A(K) of K...

enormous role in algebraic topology. Its influence has gradually expanded and presently includes commutative algebra, algebraic geometry, algebraic number theory...

version of generalized algebraic data types were described by Augustsson & Petersson (1994) and based on pattern matching in ALF. Generalized algebraic data...

development of algebraic geometry, and its algebraic counterpart, called commutative algebra. From the late 1950s through the mid-1970s algebraic geometry...

3) Bring's curve (genus 4) Macbeath surface (genus 7) Butterfly curve (algebraic) (genus 7) Polynomial lemniscate Fermat curve Sinusoidal spiral Superellipse...

abstract development of algebraic geometry. Over finite fields, étale cohomology provides topological invariants associated to algebraic varieties. p-adic...

foundational work on algebraic topology. Category theory is used in almost all areas of mathematics. In particular, many constructions of new mathematical...

This is a list of algebraic coding theory topics....

incomplete gamma function.) Cylindrical algebraic decomposition Mathematics portal List of computer algebra systems Scientific computation Statistical...

to solve algebraic problems is sometimes also possible. Algebraic topology, for example, allows for a convenient proof that any subgroup of a free group...

Interior algebra – Algebraic structure 𝜆-system (Dynkin system) – Family closed under complements and countable disjoint unions List of Boolean algebra topics...