unique homomorphism

См. также в других словарях:

• homomorphism — homomorphous, adj. /hoh meuh mawr fiz euhm, hom euh /, n. 1. Biol. correspondence in form or external appearance but not in type of structure or origin. 2. Bot. possession of perfect flowers of only one kind. 3. Zool. resemblance between the… …   Universalium

• Ring homomorphism — In ring theory or abstract algebra, a ring homomorphism is a function between two rings which respects the operations of addition and multiplication. More precisely, if R and S are rings, then a ring homomorphism is a function f : R → S such that …   Wikipedia

• Graph homomorphism — Not to be confused with graph homeomorphism. In the mathematical field of graph theory a graph homomorphism is a mapping between two graphs that respects their structure. More concretely it maps adjacent vertices to adjacent vertices. Contents 1… …   Wikipedia

• Induced homomorphism (fundamental group) — In mathematics, especially in the area of topology known as algebraic topology, the induced homomorphism is a group homomorphism related to the study of the fundamental group.DefinitionLet X and Y be topological spaces; let x 0 be a point of X… …   Wikipedia

• Lie group — Lie groups …   Wikipedia

• Semilattice — In mathematics, a join semilattice (or upper semilattice) is a partially ordered set which has a join (a least upper bound) for any nonempty finite subset. Dually, a meet semilattice (or lower semilattice) is a partially ordered set which has a… …   Wikipedia

• Catamorphism — The concept of a catamorphism is grounded in category theory, and has been applied to functional programming. It denotes the unique homomorphism for an initial algebra. The term comes from Greek Polytonic|κατα (downwards, according to) + morphism …   Wikipedia

• mathematics, foundations of — Scientific inquiry into the nature of mathematical theories and the scope of mathematical methods. It began with Euclid s Elements as an inquiry into the logical and philosophical basis of mathematics in essence, whether the axioms of any system… …   Universalium

• Boolean algebras canonically defined — Boolean algebras have been formally defined variously as a kind of lattice and as a kind of ring. This article presents them more neutrally but equally formally as simply the models of the equational theory of two values, and observes the… …   Wikipedia

• Exterior algebra — In mathematics, the exterior product or wedge product of vectors is an algebraic construction generalizing certain features of the cross product to higher dimensions. Like the cross product, and the scalar triple product, the exterior product of… …   Wikipedia

• Fundamental theorem on homomorphisms — In abstract algebra, the fundamental theorem on homomorphisms, also known as the fundamental homomorphism theorem, relates the structure of two objects between which a homomorphism is given, and of the kernel and image of the homomorphism.The… …   Wikipedia