algebra extension
71Calkin Algebra — In der Mathematik ist die Calkin Algebra (nach J. W. Calkin) eine spezielle Banachalgebra, die einem Banachraum zugeordnet ist. In der Calkin Algebra kann man Eigenschaften stetiger linearer Operatoren vereinfacht betrachten, indem Operatoren,… …
72Super Virasoro algebra — In mathematical physics, a super Virasoro algebra is an extension of the Virasoro algebra to a Lie superalgebra. There are two extensions with particular importance in superstring theory: the Ramond algebra (named after Pierre Ramond) and the… …
73Cluster algebra — Cluster algebras are a class of commutative rings introduced by Fomin and Zelevinsky (2002, 2003, 2007). A cluster algebra of rank n is an integral domain A, together with some subsets of size n called clusters whose union generates the… …
74Dual basis in a field extension — In mathematics, the linear algebra concept of dual basis can be applied in the context of a finite extension L/K, by using the field trace. This requires the property that the field trace TrL/K provides a non degenerate quadratic form over K.… …
75Loop algebra — In mathematics, loop algebras are certain types of Lie algebra, of particular interest in theoretical physics.If mathfrak{g} is a Lie algebra, the tensor product of mathfrak{g} with C^infty(S^1), :mathfrak{g}otimes C^infty(S^1), the algebra of… …
76Witt algebra — 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 holomorphic except at two fixed points. It is also the complexification of the Lie algebra of …
77Solvable Lie algebra — In mathematics, a Lie algebra g is solvable if its derived series terminates in the zero subalgebra. That is, writing for the derived Lie algebra of g, generated by the set of values [x,y] for x and y in g, the derived series …
78Conjugate (algebra) — This article is about conjugates in field extensions. For other uses, see Conjugation. In algebra, a conjugate of an element in a quadratic extension field of a field K is its image under the unique non identity automorphism of the extended field …
79Treatise on Universal Algebra — A Treatise on Universal Algebra with applications (Eine Abhandlung über universale Algebra mit Anwendungen) ist ein Werk des Mathematikers und Philosophen Alfred North Whitehead aus dem Jahr 1898. In diesem Buch unternahm es Whitehead,… …
80Teorema fundamental del álgebra — El teorema fundamental del álgebra establece que un polinomio en una variable, no constante y con coeficientes complejos, tiene tantas raíces[1] como indica su grado, contando las raíces con sus multiplicidades. En otras palabras, dado un… …
