universal algebra

Noun

Meaning

(uncountable) A branch of mathematics dealing with equational classes of algebras, where similar theorems from disparate branches of algebra are unified.

(countable) An algebraic structure studied therein.

Synonyms

Examples

A more recent development in category theory that generalizes operations is operad theory – an operad is a set of operations, similar to a universal algebra. Source: Internet

Motivations and applications In addition to its unifying approach, universal algebra also gives deep theorems and important examples and counterexamples. Source: Internet

But from a universal algebraist's point of view, that is already implied by calling ∗ a binary operation.) This definition of a group is problematic from the point of view of universal algebra. Source: Internet

For example, ordered groups are not studied in mainstream universal algebra because they involve an ordering relation. Source: Internet

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. Source: Internet

Further, the perspective of universal algebra insists not only that the inverse and identity exist, but that they be maps in the category. Source: Internet

Close letter words and terms