Posts Tagged ‘isomorphic’

Isomorphism

Tuesday, January 5th, 2010

Introduction to Isomorphism

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Description

A detailed tutorial on isomorphism. Step by step tutorial including several examples of isomorphism for reference.

Overview

Isomorphism is a topic and concept that is commonly used in abstract algebra. Let (G, o) and (H, *) be groups. A homomorphism h: (G, o) –> (H, *) that is one-to-one and onto H is called an isomorphism. If h is an isomorphism, we say that (G, o) and (H, *) are isomorphic. Homomorphism is the inverse of isomorphism.

Homomorphism

Tuesday, January 5th, 2010

Introduction to Homomorphism

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Description

A detailed tutorial on homomorphism. Step by step tutorial including several examples of homomorphism for reference.

Overview

Homomorphism is a topic and concept that is commonly used in abstract algebra. Let (G, o) and (H, *) be groups. An mapping of h: (G, o) –> (H, *) is called a homomorphism from (G, o) to (H, *). The range of h is called the homomorphic image of (G, o) under h. Isomorphism is the inverse of homomorphism.