Universal Algebra - Some Basic Theorems

Some Basic Theorems

  • The Isomorphism theorems, which encompass the isomorphism theorems of groups, rings, modules, etc.
  • Birkhoff's HSP Theorem, which states that a class of algebras is a variety if and only if it is closed under homomorphic images, subalgebras, and arbitrary direct products.

Read more about this topic:  Universal Algebra

Famous quotes containing the word basic:

    Surrealism is not a school of poetry but a movement of liberation.... A way of rediscovering the language of innocence, a renewal of the primordial pact, poetry is the basic text, the foundation of the human order. Surrealism is revolutionary because it is a return to the beginning of all beginnings.
    Octavio Paz (b. 1914)