How to pronounce “perfect field”

Meaning

• [Noun]
• (algebra, field theory) A field K such that every irreducible polynomial over K has distinct roots.

Practice Nearby Words

separable polynomial, prime field, fixed field, root field, splitting field, abel's irreducibility theorem, primitive polynomial, field, finite field, ordered field, field extension, number field, normal extension, algebraic extension, algebraic closure, extension field, minimal polynomial, field of fractions, algebraic number field, separable extension, presemifield, hardy field, subfield, primitive element, quadratic field, division algebra, cyclotomic field, hyperfield, field of quotients, k-algebra, conjugate, galois field, quasifield, simple extension, field theory, polynomial basis, field axioms, skew field, killing field, field axiom, residue field, irreducible, polynomial ring, unique factorization domain, algebraic integer, transcendence degree, integral domain, multiple root, vanishing ideal, principal ideal domain, polynomial function, unique factorization ring, gröbner basis, discrete valuation, fractional ideal, kernel, elliptic curve, ultrapolynomial, degree, simple root, valuation ring, ideal, algebraic number, birational geometry, nullstellensatz, stark-heegner theorem, ideal number, kummer ring, pseudoradical, algebra over a field, compositum, dedekind domain, principal ideal ring, central simple algebra, polynomial form, domain, scalar field, archimedean ordered field, prealgebra, linear functional, minimal ideal, rational function, brauer group, zero divisor, regular element, composition algebra, projective variety, simple algebra, polynomial algebra, characteristic, topological field, free abelian group, prime ring, euclidean domain, integral element, closed form, field of scalars, root of unity, multilinear form, algebraic k-theory

Similar Sounds

perfect fit, perfected, perfect world, perfectively, brookfield, bradfield, bechtold, unperfected, springfield, speckled