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What (who) is Universal algebra - definition
FIELD OF MATHEMATICS CONCERNING THE THEORY OF ALGEBRAIC STRUCTURES
Universal Algebra; Equational theory; General algebra; Equational reasoning; History of universal algebra
Universal algebra
<logic> The model theory of first-order {equational
logic}.
(1997-02-25)
Universal algebra
Universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ("models") of algebraic structures.
Basis (universal algebra)
STRUCTURE INSIDE OF SOME (UNIVERSAL) ALGEBRAS, WHICH ARE CALLED FREE ALGEBRAS. IT GENERATES ALL ALGEBRA ELEMENTS FROM ITS OWN ELEMENTS BY THE ALGEBRA OPERATIONS IN AN INDEPENDENT MANNER
Basis (Universal Algebra)
In universal algebra, a basis is a structure inside of some (universal) algebras, which are called free algebras. It generates all algebra elements from its own elements by the algebra operations in an independent manner.
Wikipedia
Universal algebra
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 class of groups as an object of study.
