algebraic structure
An 'algebraic structure' is a foundational concept in abstract algebra, encompassing various mathematical systems defined by sets and operations that satisfy specific axioms.
🇺🇸 US Voice:
🇬🇧 UK Voice:
Definition
C1Abstract Algebra
(technical, academic)A set with one or more operations that follow a specific set of axioms.
Example
- Groups and rings are examples of algebraic structures studied in abstract algebra.
C1Mathematics
(technical)A system consisting of a set and operations that adhere to certain rules and properties.
Example
- In a vector space, the operations of vector addition and scalar multiplication form an algebraic structure.
Similar
Terms that have similar or relatively close meanings to "algebraic structure":
associative algebraalgebraic analysisnon-associative algebraalgebraic notationalgebraic graph theoryalgebraic statisticsuniversal algebracommutative algebraalgebraically closeddivision algebralinear algebrachemical structuregroup theory