Universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ("models") of algebraic structures. For instance, rather than take particular groups as the object of study, in universal algebra one takes "the theory of groups" as an object of study.
Read more about Universal Algebra: Basic Idea, Varieties, Basic Constructions, Some Basic Theorems, Motivations and Applications, History
Famous quotes containing the words universal and/or algebra:
“We are now going through a period of demolition. In morals, in social life, in politics, in medicine, and in religion there is a universal upturning of foundations. But the day of reconstruction seems to be looming, and now the grand question is: Are there any sure and universal principles that will evolve a harmonious system in which we shall all agree?”
—Catherine E. Beecher (1800–1878)
“Poetry has become the higher algebra of metaphors.”
—José Ortega Y Gasset (1883–1955)