free isomorphism
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Free probability — is a mathematical theory which studies non commutative random variables. The freeness property is the analogue of the classical notion of independence, and it is connected with free products. This theory was initiated by Dan Voiculescu around… … Wikipedia
Free group — In mathematics, a group G is called free if there is a subset S of G such that any element of G can be written in one and only one way as a product of finitely many elements of S and their inverses (disregarding trivial variations such as st 1 =… … Wikipedia
Free monoid — In abstract algebra, the free monoid on a set A is the monoid whose elements are all the finite sequences (or strings) of zero or more elements from A , with the binary operation of concatenation. It is usually denoted A lowast;. The identity… … Wikipedia
Free Boolean algebra — In abstract algebra, a branch of mathematics, a free Boolean algebra is a Boolean algebra 〈 B , F 〉, such that the set B (called the carrier ) has a subset whose elements are called generators. The generators satisfy the following properties:… … Wikipedia
Torsion-free abelian groups of rank 1 — Infinitely generated abelian groups have very complex structure and are far less well understood than finitely generated abelian groups. Even torsion free abelian groups are vastly more varied in their characteristics than vector spaces. Torsion… … Wikipedia
Adjoint functors — Adjunction redirects here. For the construction in field theory, see Adjunction (field theory). For the construction in topology, see Adjunction space. In mathematics, adjoint functors are pairs of functors which stand in a particular… … Wikipedia
Limit (category theory) — In category theory, a branch of mathematics, the abstract notion of a limit captures the essential properties of universal constructions such as products and inverse limits. The dual notion of a colimit generalizes constructions such as disjoint… … Wikipedia
Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… … Wikipedia
Bass–Serre theory — is a part of the mathematical subject of group theory that deals with analyzing the algebraic structure of groups acting by automorphisms on simplicial trees. The theory relates group actions on trees with decomposing groups as iterated… … Wikipedia
Affine connection — An affine connection on the sphere rolls the affine tangent plane from one point to another. As it does so, the point of contact traces out a curve in the plane: the development. In the branch of mathematics called differential geometry, an… … Wikipedia
Zlil Sela — is an Isareli mathematician working in the area of geometric group theory.He is a Professor of Mathematics at the Hebrew University of Jerusalem. Sela is known for the solution of the isomorphism problem for torsion free word hyperbolic groups… … Wikipedia
