- alternative algebra
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An algebra such that every subalgebra generated by two elements is associative.
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alternative algebra
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Alternative algebra — In abstract algebra, an alternative algebra is an algebra in which multiplication need not be associative, only alternative. That is, one must have *x(xy) = (xx)y *(yx)x = y(xx)for all x and y in the algebra. Every associative algebra is… … Wikipedia
Alternative — An alternative is an object or action which can be chosen. Alternative may also refer to: Genres of music * Alternative rock * Alternative dance * Alternative metal * Alternative hip hop * Alternative countryOther music* Alternative (album), an… … Wikipedia
Algebra & Number Theory — (ISSN 1937 0652) is a peer reviewed mathematics journal published by the nonprofit organization Mathematical Sciences Publishers. [ [http://www.mathscipub.org/journals.html Mathematical Sciences Publishers journals] ] It was launched on January… … 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
Algebra of Communicating Processes — The Algebra of Communicating Processes (ACP) is an algebraic approach to reasoning about concurrent systems. It is a member of the family of mathematical theories of concurrency known as process algebras or process calculi. ACP was initially… … 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
Non-associative 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
Commutant-associative algebra — In abstract algebra, a commutant associative algebra is a nonassociative algebra over a field whose multiplication satisfies the following axiom: ([A1,A2],[A3,A4],[A5,A6]) = 0, where [A, B] = AB − BA is the commutator of… … Wikipedia
Malcev algebra — For the Lie algebras or groups, see Malcev Lie algebra. In mathematics, a Malcev algebra (or Maltsev algebra or Moufang–Lie algebra) over a field is a nonassociative algebra that is antisymmetric, so that and satisfies the Malcev identity They… … Wikipedia
List of abstract algebra topics — Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras. The phrase abstract algebra was coined at the turn of the 20th century to distinguish this … Wikipedia
