algebraic structure
Noun
Meaning
algebraic structure (plural algebraic structures)
(algebra, universal algebra) Any one of the numerous types of mathematical object studied in algebra and especially in universal algebra;(more formally) a mathematical object comprising a carrier set (aka underlying set or domain), an optional scalar set, a set of operations (typically binary operations, but otherwise each of finite arity) and a set of identities (axioms) which the operations must satisfy.
The definition of algebraic structure establishes a framework through which to compare otherwise very different abstract objects, and to study similarities and patterns made apparent by the definition.
Synonyms
Examples
Algebraic structure and the word problem There are a number of results that relate solvability of the word problem and algebraic structure.