List of Abstract Algebra Topics - Non-associative Systems

Non-associative Systems

General
  • Associative property, Associator
  • Magma (algebra)
    • Loop (algebra), Quasigroup
  • Nonassociative ring, Non-associative algebra
    • Universal enveloping algebra
    • Lie algebra (see also list of Lie group topics and list of representation theory topics)
    • Jordan algebra
    • Alternative algebra
    • Power associativity
    • Flexible algebra
Examples
  • Cayley–Dickson construction
    • Octonions
    • Sedenions
  • Virasoro algebra

Read more about this topic:  List Of Abstract Algebra Topics

Famous quotes containing the word systems:

    What is most original in a man’s nature is often that which is most desperate. Thus new systems are forced on the world by men who simply cannot bear the pain of living with what is. Creators care nothing for their systems except that they be unique. If Hitler had been born in Nazi Germany he wouldn’t have been content to enjoy the atmosphere.
    Leonard Cohen (b. 1934)