Free Object

In mathematics, the idea of a free object is one of the basic concepts of abstract algebra. It is a part of universal algebra, in the sense that it relates to all types of algebraic structure (with finitary operations). It also has a formulation in terms of category theory, although this is in yet more abstract terms. Examples include free groups, tensor algebras, or free lattices. Informally, a free object over a set A can be thought as being a "generic" algebraic structure over A: the only equations that hold between elements of the free object are those that follow from the defining axioms of the algebraic structure.

Read more about Free Object:  Definition, Examples, Free Universal Algebras, Free Functor, List of Free Objects

Famous quotes containing the words free and/or object:

    A bureaucracy is sure to think that its duty is to augment official power, official business, or official members, rather than to leave free the energies of mankind; it overdoes the quantity of government, as well as impairs its quality. The truth is, that a skilled bureaucracy ... is, though it boasts of an appearance of science, quite inconsistent with the true principles of the art of business.
    Walter Bagehot (1826–1877)

    Talking about dreams is like talking about movies, since the cinema uses the language of dreams; years can pass in a second and you can hop from one place to another. It’s a language made of image. And in the real cinema, every object and every light means something, as in a dream.
    Frederico Fellini (1920–1993)