radical of algebra
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Radical — (from Latin radicis , genitive of radix root ) can refer to many different things and concepts.Mathematics*The symbol √ used to indicate the square root or nth root *Radical of an algebraic group, a concept in algebraic group theory *Radical of… … Wikipedia
Radical jerarquizado — Saltar a navegación, búsqueda En álgebra los radicales jerarquizados son las expresiones radicales que contienen en su interior otra expresión radical. Como en estos ejemplos: Resolver estos radicales se considera generalmente un problema difícil … Wikipedia Español
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
Radical of an ideal — In ring theory, a branch of mathematics, the radical of an ideal is a kind of completion of the ideal. There are several special radicals associated with the entire ring such as the nilradical and the Jacobson radical , which isolate certain bad… … Wikipedia
Radical of a Lie algebra — The radical of a Lie algebra mathfrak{g} is a particular ideal of mathfrak{g}. Definition Let mathfrak{g} be a Lie algebra. The radical of mathfrak{g} is defined as the largest solvable ideal of mathfrak{g}.Such an ideal exists for the following… … Wikipedia
Radical of a module — In mathematics, in the theory of modules, the radical of a module is a component in the theory of structure and classification. It is a generalization of the Jacobson radical for rings. In many ways, it is the dual notion to that of the socle… … Wikipedia
Radical polynomial — In mathematics, in the realm of abstract algebra, a radical polynomial is a multivariate polynomial over a field that can be expressed as a polynomial in the sum of squares of the variables. That is, if :k [x 1, x 2,ldots, x n] is a polynomial… … Wikipedia
Jacobson radical — In ring theory, a branch of abstract algebra, the Jacobson radical of a ring R is an ideal of R which contains those elements of R which in a sense are close to zero . DefinitionThe Jacobson radical is denoted by J( R ) and can be defined in the… … Wikipedia
Semisimple algebra — In ring theory, a semisimple algebra is an associative algebra which has trivial Jacobson radical (that is only the zero element of the algebra is in the Jacobson radical). If the algebra is finite dimensional this is equivalent to saying that it … Wikipedia
Lie algebra — In mathematics, a Lie algebra is an algebraic structure whose main use is in studying geometric objects such as Lie groups and differentiable manifolds. Lie algebras were introduced to study the concept of infinitesimal transformations. The term… … Wikipedia
Elementary algebra — is a fundamental and relatively basic form of algebra taught to students who are presumed to have little or no formal knowledge of mathematics beyond arithmetic. It is typically taught in secondary school under the term algebra. The major… … Wikipedia
