enveloping ring
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Ring (mathematics) — This article is about algebraic structures. For geometric rings, see Annulus (mathematics). For the set theory concept, see Ring of sets. Polynomials, represented here by curves, form a ring under addition and multiplication. In mathematics, a… … Wikipedia
Ring theory — In abstract algebra, ring theory is the study of rings algebraic structures in which addition and multiplication are defined and have similar properties to those familiar from the integers. Ring theory studies the structure of rings, their… … Wikipedia
Domain (ring theory) — In mathematics, especially in the area of abstract algebra known as ring theory, a domain is a ring such that ab = 0 implies that either a = 0 or b = 0.[1] That is, it is a ring which has no left or right zero divisors. (Sometimes such a ring is… … Wikipedia
World War I — the war fought mainly in Europe and the Middle East, between the Central Powers and the Allies, beginning on July 28, 1914, and ending on November 11, 1918, with the collapse of the Central Powers. Abbr.: WWI Also called Great War, War of the… … Universalium
Heisenberg group — In mathematics, the Heisenberg group, named after Werner Heisenberg, is the group of 3×3 upper triangular matrices of the form or its generalizations under the operation of matrix multiplication. Elements a, b, c can be taken from some… … Wikipedia
Group algebra — This page discusses topological algebras associated to topological groups; for the purely algebraic case of discrete groups see group ring. In mathematics, the group algebra is any of various constructions to assign to a locally compact group an… … Wikipedia
Weyl algebra — In abstract algebra, the Weyl algebra is the ring of differential operators with polynomial coefficients (in one variable),: f n(X) partial X^n + cdots + f 1(X) partial X + f 0(X).More precisely, let F be a field, and let F [ X ] be the ring of… … Wikipedia
Quantum group — In mathematics and theoretical physics, quantum groups are certain noncommutative algebras that first appeared in the theory of quantum integrable systems, and which were then formalized by Vladimir Drinfel d and Michio Jimbo. There is no single … Wikipedia
Symmetric algebra — In mathematics, the symmetric algebra S ( V ) (also denoted Sym ( V )) on a vector space V over a field K is the free commutative unital associative K algebra containing V .It corresponds to polynomials with indeterminates in V , without choosing … Wikipedia
Baker-Campbell-Hausdorff formula — In mathematics, the Baker Campbell Hausdorff formula is the solution to:Z = log(e^X e^Y),for non commuting X and Y . It is named for Henry Frederick Baker, John Edward Campbell, and Felix Hausdorff. It was first noted in print by Campbell,… … Wikipedia
Free Lie algebra — In mathematics, a free Lie algebra, over a given field K, is a Lie algebra generated by a set X, without any imposed relations. Contents 1 Definition 2 Universal enveloping algebra 3 Hall sets … Wikipedia
