Advertisement

Homomorphisms

Chapter
  • 921 Downloads

Abstract

Two algebras with the same intrinsic structure are often identified in mathematics, even though the elements in the two algebras may in fact be different. The way of making this identification precise is via the notion of an isomorphism. More generally, two algebras may bear a structural resemblance to one another, even though they do not have exactly the same intrinsic structure. Homomorphisms provide a tool for establishing structural similarities. Because the notion of a homomorphism is more general than that of an isomorphism, we discuss it first. It is general algebraic in nature, and applies to arbitrary algebras, not just to relation algebras.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Department of MathematicsMills CollegeOaklandUSA

Personalised recommendations