commutative algebra
"Commutative algebra" is essential in understanding the properties of commutative rings and is widely used in algebraic geometry and number theory.
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Definition
C2Mathematics
(technical, academic)The branch of algebra that studies rings where the multiplication of any two elements gives the same result regardless of their order.
Example
- Commutative algebra provides the foundation for many concepts in algebraic geometry.
- Understanding commutative algebra is crucial for advanced studies in number theory.
Similar
Terms that have similar or relatively close meanings to "commutative algebra":
associative algebranon-associative algebraalgebraic structuredivision algebraalgebraically closedalgebraic analysisuniversal algebraalgebraic graph theorylinear algebraprincipal ideal ringalgebraic statistics