universal algebra
"Universal algebra" seeks to unify various algebraic structures by studying their common properties and principles in an abstract manner.
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Definition
C2Mathematics
(technical, academic)A branch of mathematics that examines the general properties and behaviors of algebraic structures like groups, rings, and fields.
Example
- Universal algebra helps mathematicians find commonalities among different algebraic systems.
- The principles of universal algebra can be applied to diverse mathematical structures.
C2Mathematics
(technical, academic)The study of algebraic systems by identifying and analyzing their shared operations and relationships.
Example
- Researchers in universal algebra work to generalize the properties of algebraic structures.
- Universal algebra provides a framework for understanding the core principles of various algebraic entities.
Similar
Terms that have similar or relatively close meanings to "universal algebra":
associative algebraalgebraic structurenon-associative algebraalgebraically closedalgebraic analysisalgebraic statisticscommutative algebra