Algebra is the branch of mathematics that studies algebraic structures and the manipulation of statements within those structures. It is a generalization... 120 KB (12,009 words) - 22:58, 8 April 2024 |
mathematics, and more specifically in abstract algebra, a *-algebra (or involutive algebra; read as "star-algebra") is a mathematical structure consisting of... 11 KB (1,359 words) - 10:03, 10 March 2024 |
mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables... 73 KB (9,405 words) - 12:14, 10 April 2024 |
branches like algebraic number theory and algebraic topology. The word algebra itself has several meanings. Algebraic may also refer to: Algebraic data type... 1 KB (238 words) - 13:14, 27 August 2020 |
In mathematical analysis and in probability theory, a σ-algebra (also σ-field) on a set X is a nonempty collection Σ of subsets of X closed under complement... 30 KB (5,337 words) - 13:11, 26 March 2024 |
Algebraic notation is the standard method for recording and describing the moves in a game of chess. It is based on a system of coordinates to uniquely... 22 KB (2,582 words) - 08:17, 24 March 2024 |
mathematics, an algebra over a field (often simply called an algebra) is a vector space equipped with a bilinear product. Thus, an algebra is an algebraic structure... 22 KB (2,913 words) - 11:08, 9 April 2024 |
mathematics, specifically in functional analysis, a C∗-algebra (pronounced "C-star") is a Banach algebra together with an involution satisfying the properties... 20 KB (2,829 words) - 11:21, 17 April 2024 |
mathematics, a Clifford algebra is an algebra generated by a vector space with a quadratic form, and is a unital associative algebra with the additional structure... 64 KB (9,155 words) - 18:43, 17 April 2024 |
Algebra can essentially be considered as doing computations similar to those of arithmetic but with non-numerical mathematical objects. However, until... 120 KB (16,877 words) - 16:13, 12 April 2024 |
In mathematics, an associative algebra A over a commutative ring (often a field) K is a ring A together with a ring homomorphism from K into the center... 31 KB (4,449 words) - 14:18, 5 April 2024 |
In mathematics, a Heyting algebra (also known as pseudo-Boolean algebra) is a bounded lattice (with join and meet operations written ∨ and ∧ and with... 44 KB (6,241 words) - 10:44, 12 February 2024 |
In mathematics and computer science, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the... 25 KB (3,014 words) - 04:49, 9 April 2024 |
universal algebra, an algebraic structure is called an algebra; this term may be ambiguous, since, in other contexts, an algebra is an algebraic structure... 20 KB (2,684 words) - 12:17, 9 April 2024 |
In database theory, relational algebra is a theory that uses algebraic structures for modeling data, and defining queries on it with a well founded semantics... 50 KB (6,301 words) - 18:22, 20 April 2024 |
algebra Enveloping algebra, of an associative algebra: see Associative algebra § Enveloping algebra Enveloping von Neumann algebra, of a C*-algebra This... 358 bytes (74 words) - 23:29, 29 December 2023 |
algebra (also known as a Clifford algebra) is an extension of elementary algebra to work with geometrical objects such as vectors. Geometric algebra is... 93 KB (13,897 words) - 06:11, 15 April 2024 |
Mathematics (section Algebra) in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among... 167 KB (16,258 words) - 15:16, 14 April 2024 |
In algebra, the kernel of a homomorphism (function that preserves the structure) is generally the inverse image of 0 (except for groups whose operation... 18 KB (2,553 words) - 01:25, 30 October 2023 |
In mathematics, the complex Witt algebra, named after Ernst Witt, is the Lie algebra of meromorphic vector fields defined on the Riemann sphere that are... 3 KB (340 words) - 17:21, 13 May 2023 |
The fundamental theorem of algebra, also called d'Alembert's theorem or the d'Alembert–Gauss theorem, states that every non-constant single-variable polynomial... 51 KB (7,720 words) - 16:18, 14 March 2024 |
Borel set (redirect from Borel sigma algebra) Borel sets on X forms a σ-algebra, known as the Borel algebra or Borel σ-algebra. The Borel algebra on X is the smallest σ-algebra containing all open sets... 12 KB (1,768 words) - 13:18, 18 January 2024 |
In mathematics: In abstract algebra and mathematical logic a derivative algebra is an algebraic structure that provides an abstraction of the derivative... 895 bytes (127 words) - 08:20, 11 March 2016 |
In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations (addition, subtraction... 7 KB (782 words) - 03:56, 7 January 2024 |