Algebra 1-20
20 entries in the Algebra compendium.
Norm (mathematics)A function measuring vector length in a normed space.Normal subgroupSubgroup invariant under conjugation by group elements.PolynomialA mathematical expression of variables and coefficients using addition and multiplication.Polynomial ringRing formed from polynomials with coefficients in another ring.Product (category theory)Universal construction generalizing Cartesian product across categories.Product (mathematics)The result of multiplication, central to arithmetic and algebra.Projection (linear algebra)A linear operator that is idempotent, generalizing graphical projection.Quadratic equationA second-degree polynomial equation with at most two solutions.Quadratic formA homogeneous polynomial of degree two in several variables.Quadratic formulaClosed-form expression for solving quadratic equations.Quadratic functionA polynomial function of degree two, graphed as a parabola.QuaternionFour-dimensional number system for three-dimensional rotations.Rank (linear algebra)Rank measures the dimension of a matrix's column or row space.Rank–nullity theoremDomain dimension equals rank plus nullity.Rational functionRatio of two polynomial functions, fundamental in algebra and analysis.Real-valued functionA function that assigns a real number to each domain element.Representation theoryStudies algebraic structures via linear transformations.ResultantPolynomial expression indicating common roots of two polynomials.Ring (mathematics)Algebraic structure with two binary operations, generalizing integer arithmetic.Ring theoryStudy of algebraic structures with addition and multiplication.
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