 powerassociative algebra

An algebra such that every subalgebra generated by one element is associative.
Wikipedia foundation.
Wikipedia foundation.
Nonassociative algebra — This article is about a particular non associative structure known as a non associative algebra. See also the article about non associativity in general. A non associative algebra[1] (or distributive algebra) over a field (or a ring) K is a K… … Wikipedia
Algebra over a field — This article is about a particular kind of vector space. For other uses of the term algebra , see algebra (disambiguation). In mathematics, an algebra over a field is a vector space equipped with a bilinear vector product. That is to say, it is… … Wikipedia
Power associativity — In abstract algebra, power associativity is a weak form of associativity.An algebra (or more generally a magma) is said to be power associative if the subalgebra generated by any element is associative.Concretely, this means that if an element x… … Wikipedia
Associative property — This article is about associativity in mathematics. For associativity in the central processor unit memory cache, see CPU cache. For associativity in programming languages, see operator associativity. In mathematics, associativity is a property… … Wikipedia
algebra — /al jeuh breuh/, n. 1. the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations. 2. any of… … Universalium
Algebra of sets — The algebra of sets develops and describes the basic properties and laws of sets, the set theoretic operations of union, intersection, and complementation and the relations of set equality and set inclusion. It also provides systematic procedures … Wikipedia
algebra, elementary — Introduction branch of mathematics that deals with the general properties of numbers and the relations between them. Algebra is fundamental not only to all further mathematics and statistics but to the natural sciences, computer science,… … Universalium
Division algebra — In the field of mathematics called abstract algebra, a division algebra is, roughly speaking, an algebra over a field, in which division is possible. Contents 1 Definitions 2 Associative division algebras 3 Not necessarily asso … Wikipedia
Exterior algebra — In mathematics, the exterior product or wedge product of vectors is an algebraic construction generalizing certain features of the cross product to higher dimensions. Like the cross product, and the scalar triple product, the exterior product of… … Wikipedia
Formal power series — In mathematics, formal power series are devices that make it possible to employ much of the analytical machinery of power series in settings that do not have natural notions of convergence. They are also useful, especially in combinatorics, for… … Wikipedia