algebraist
Studies abstract structures
An algebraist is a mathematician who specializes in algebra—the branch of mathematics dealing with symbols, equations, and abstract structures.
The term typically refers to those working in advanced or pure algebra rather than the basic algebra taught in schools: The algebraist proved a theorem about ring theory.
Expression with variable terms
- factorizationDecomposing into multiplicative parts
- rootsUnderground nutrient absorbers
- coefficientNumber multiplying a variable
- variableProne to fluctuation
equation · matrix · determinant · eigenvalue · eigenvector · diagonalization · trace · rank
Assembled collection of things
- ringClosed curve shape
- fieldArea of specialty
- moduleIndependent functional component
- latticeOpenwork of crossed strips
ideal · subgroup · quotient · kernel · normal · solvable · simple · cyclic
Demonstrated logical conclusion
- proofDemonstration of truth
- axiomSelf-evident starting principle
- conjectureGuess from limited facts
- lemmaBase form, or helper theorem
Structure-preserving bijective map
Order of terms irrelevant
- associativeConnecting by relationship
- distributiveConcerning fair division
- identityWho someone is
- inverseOpposite in position
closure · well-defined · unique · finite · infinite · torsion · divisible · free
polynomial
Expression with variable terms
- factorizationDecomposing into multiplicative parts
- rootsUnderground nutrient absorbers
- coefficientNumber multiplying a variable
variable · equation · matrix · determinant · eigenvalue · eigenvector · diagonalization · trace · rank · nullity
group
Assembled collection of things
lattice · ideal · subgroup · quotient · kernel · normal · solvable · simple · cyclic · extension
theorem
Demonstrated logical conclusion
- proofDemonstration of truth
- axiomSelf-evident starting principle
- conjectureGuess from limited facts
lemma · corollary · proposition · classification · invariant
isomorphism
Structure-preserving bijective map
image · representation · action · conjugation · permutation
commutative
Order of terms irrelevant
- associativeConnecting by relationship
- distributiveConcerning fair division
- identityWho someone is
inverse · closure · well-defined · unique · finite · infinite · torsion · divisible · free · projective
- algebraic expressionsMathematical phrases with variables
- algebraic equationMathematical equality using variables
- algebraic data typesStructured composite value definitions
- algebraic manipulationRestructuring mathematical expressions