Algebra is the branch of mathematics that studies algebraic structures and the manipulation of statements within those structures. It is a generalization... 120 KB (11,825 words) - 01:56, 28 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 (9,399 words) - 18:08, 23 March 2024 |
Linear algebra is the branch of mathematics concerning linear equations such as: a1x1+⋯+anxn=b,{\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b,} linear... 64 KB (7,687 words) - 19:56, 24 January 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 |
mathematics, and more specifically in abstract algebra, a *-algebra (or involutive algebra; read as "star-algebra") is a mathematical structure consisting of... 11 KB (1,331 words) - 10:03, 10 March 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 (2,798 words) - 14:57, 7 December 2023 |
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 (5,139 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 |
In mathematics, the exterior algebra or Grassmann algebra of a vector space V{\displaystyle V} is an associative algebra that contains V,{\displaystyle... 77 KB (11,558 words) - 12:46, 26 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 (2,875 words) - 03:27, 1 November 2023 |
a Clifford algebra is an algebra generated by a vector space with a quadratic form, and is a unital associative algebra. As K-algebras, they generalize... 63 KB (8,652 words) - 08:02, 13 March 2024 |
Algebra can essentially be considered as doing computations similar to those of arithmetic but with non-numerical mathematical objects. However, until... 120 KB (16,629 words) - 10:42, 27 March 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 (4,457 words) - 22:45, 18 March 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 (6,121 words) - 13:39, 19 February 2024 |
In mathematics, an algebra homomorphism is a homomorphism between two algebras. More precisely, if A and B are algebras over a field (or a ring) K, it... 3 KB (423 words) - 11:15, 30 January 2024 |
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 (13,242 words) - 00:17, 24 March 2024 |
Field (mathematics) (redirect from Field (algebra)) and real numbers. A field is thus a fundamental algebraic structure which is widely used in algebra, number theory, and many other areas of mathematics... 87 KB (10,249 words) - 00:50, 14 March 2024 |
In mathematics and computer science, computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the... 24 KB (2,925 words) - 18:59, 12 March 2024 |
Al-Khwarizmi (section Algebra) equation), he has been described as the father or founder of algebra. The English term algebra comes from the short-hand title of his aforementioned treatise... 73 KB (7,409 words) - 03:26, 16 March 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 (16,256 words) - 20:03, 18 March 2024 |
Ring (mathematics) (redirect from Ring (algebra)) In mathematics, rings are algebraic structures that generalize fields: multiplication need not be commutative and multiplicative inverses need not exist... 99 KB (13,383 words) - 08:14, 22 March 2024 |
Communications in Algebra is a monthly peer-reviewed scientific journal covering algebra, including commutative algebra, ring theory, module theory, non-associative... 2 KB (119 words) - 15:39, 18 July 2023 |
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 (2,675 words) - 03:41, 20 July 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 (7,469 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 (1,729 words) - 13:18, 18 January 2024 |
Complex algebra may refer to: A complex algebra (set theory), also known as field of sets Algebra over the complex numbers Algebra involving complex numbers... 193 bytes (57 words) - 02:20, 29 July 2022 |
In universal algebra, an abstract algebra A is called simple if and only if it has no nontrivial congruence relations, or equivalently, if every homomorphism... 2 KB (212 words) - 14:01, 6 March 2022 |